What is the least number which is divided by each of the number 12 18 and 24? ✅ Chi Tiết
Thủ Thuật về What is the least number which is divided by each of the number 12 18 and 24? Chi Tiết
Gan Feng Du đang tìm kiếm từ khóa What is the least number which is divided by each of the number 12 18 and 24? được Cập Nhật vào lúc : 2022-12-20 05:30:12 . Với phương châm chia sẻ Bí kíp về trong nội dung bài viết một cách Chi Tiết Mới Nhất. Nếu sau khi đọc nội dung bài viết vẫn ko hiểu thì hoàn toàn có thể lại Comments ở cuối bài để Tác giả lý giải và hướng dẫn lại nha.LCM of 12, 18 and 24 is equal to 72. The comprehensive work provides more insight of how to find what is the lcm of 12, 18 and 24 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
Nội dung chính Show- What is the LCM for 12 18 and 24?What is the least number of 12 16 and 24?What are the common factors of 12 18 and 24?What is the least of 12 and 18?
what is the lcm of 12, 18 and 24?
lcm (12 18 24) = (?)
12 => 2 x 2 x 3
18 => 2 x 3 x 3
24 => 2 x 2 x 2 x 3
= 2 x 2 x 3 x 3 x 2
= 72
lcm (12, 18 and 24) = 72
72 is the lcm of 12, 18 and 24.
where,
12 is a positive integer,
18 is a positive integer,
72 is the lcm of 12, 18 and 24,
2, 2, 3 in 2 x 2 x 3, 2 x 3 x 3, 2 x 2 x 2 x 3 are the most repeated factors of 12, 18 and 24,
3, 2 in 2 x 2 x 3, 2 x 3 x 3, 2 x 2 x 2 x 3 are the the other remaining factors of 12, 18 and 24.
Use in Mathematics: LCM of 12, 18 and 24
The below are some of the mathematical applications where lcm of 12, 18 and 24 can be used:
In the context of lcm real world problems, the lcm of 12, 18 and 24 helps to find the exact time when three similar and recurring with different time schedule happens together the same time. For example, the real world problems involve lcm in situations to find what time all the bells A, B and C toll together, if bell A tolls 12 seconds, B tolls 18 seconds and C tolls 24 seconds repeatedly. The answer is that all bells A, B and C toll together 72 seconds for the first time, 144 seconds for the second time, 216 seconds for the third time and so on.
Important Notes: 12, 18 and 24 lcm
The below are the important notes to be remembered while solving the lcm of 12, 18 and 24:
For values other than 12, 18 and 24, use this below tool:
Correct Answer - Option 4 : 364
Concept Used-
The least number which is divisible by several numbers is the LCM of such numbers.
Calculation-
The least number which is divisible by 12, 18, 24 and 30 = LCM of 12, 18, 24 and 30
⇒ 360
Now the least number which leaves remainder as 4 when divided by 12, 18, 24 and 30 = 360 + 4
⇒ 364
Now, 364 is divisible by 7.
∴ 364 is the required number.
Hint: To find the LCM of the given number we need to find the multiples of each individual number and then we need to select the common multiple among all the three and then whichever number is the least is the lowest common multiple.Complete step-by-step answer:
LCM stands for lowest common multiple. It is also known as lowest common divisor.
LCM can be found out by using the greatest divisor method, using prime factorization or by continuous division method.
Given, numbers are 12, 18, 24.
First write the multiple of all the three numbers,
$Rightarrow$ Multiples of 12: 12 24 36 48 60 72
$Rightarrow$ Multiples of 18: 18 36 54 72 90 108
$Rightarrow$ Multiples of 24: 24 48 72 96 120 144
By the above observation it is clear that the 72 is the common multiple and it is also least common multiple. This method is known as the listing method.
The Lowest common multiple for 12, 18 and 24 is 72.
So, the correct answer is “Option A”.
Note: This question, can be solved by continuous division method as follows,
$
2left| !underline ,
12,,,18,,,24 , right. \
3left| !underline ,
6,,,,,,,9,,,,12 , right. \
2left| !underline ,
2,,,,,,3,,,,,,4 , right. \
3left| !underline ,
1,,,,,,,,3,,,,,,2 , right. \
2left| !underline ,
1,,,,,,,,1,,,,,,2 , right. \
,,,,1,,,,,,,,1,,,,,,1 \
$
Now, multiply the divisors to get the L.C.M.
$Rightarrow$ So, L.C.M. of 12, 18 and 24 will be equal to $2 times 3 times 2 times 3 times 2 times 1 = 72$.
There is one more way to solve this problem by factor tree method, in this method we have to find all the factors of the given number, then by making the pairs we can find the L.C.M.
What is the LCM for 12 18 and 24?
The Lowest common multiple for 12, 18 and 24 is 72. So, the correct answer is “Option A”. Now, multiply the divisors to get the L.C.M. ⇒ So, L.C.M. of 12, 18 and 24 will be equal to 2×3×2×3×2×1=72.What is the least number of 12 16 and 24?
Solved Examples Answer: 48 is the smallest number that is divisible by 12, 16 and 24.What are the common factors of 12 18 and 24?
There are 4 common factors of 12, 18 and 24, and they are 1, 2, 3 and 6. Therefore, the highest common factor of 12, 18 and 24 is 6.What is the least of 12 and 18?
Solved Examples Answer: 36 is the smallest number that is divisible by both 12 and 18. Tải thêm tài liệu liên quan đến nội dung bài viết What is the least number which is divided by each of the number 12 18 and 24?