Lcm for 21 15 16

Answer 1

The LCM (Lowest Common Multiple) of 21, 15, and 16 is 5040.

In order to find the LCM of a set of numbers, you can multiply the smallest valued member of the set by a consecutive string of numbers until the result matches a common multiple of the corresponding values in the set.

For instance, find the LCM of 5 and 20.

Assume before intuitively answering the question that you don't know common multiple of 5 and 20, but you do know the rule of consecutive string multiplication. starting from one, you would write 1(5)=5, 2(5)=10, 3(5)=15, 4(5)=20. The multiple of a number includes itself, and any additional value that adds an equal amount to, or quantitatively equal to when the original value is multiplied by any digit greater than one.

In the case of our problem, we are trying to find the LCM of 21, 15, and 16. This problem is tricky, because:

1. The GCF between the numbers is 1.
2. We are dealing with three numbers in the set.

When the GCF of any group of real, whole numbers is 1, the LCM is found by multiplying the members of the set. In the case of our problem, we would have:

(21)(15)(16)=(315)(16)=5040