Home > Prealgebra > Least Common Multiple

What is the least common multiple of 3, 2, and 15?

Answer 1

The LCM for #3, 2#, and #15# is #color(red)30#.

In order to determine the least common multiple (LCM), list the multiples of each number. The lowest number that they all have in common is the LCM.

#3:##3,6,9,12,15,18,21,24,27, color(red)(30),33,39...#

#2:##2,4,6,8,10,12,14,16,18,20,22,24,26,28,color(red)(30),32...#

#15:##15,color(red)30,45,60...#

The LCM for #3, 2#, and #15# is #color(red)30#.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Jeremiah Andrews

To find the least common multiple (LCM) of 3, 2, and 15, follow these steps:

List the prime factorization of each number: [ 3 = 3 ] [ 2 = 2 ] [ 15 = 3 \times 5 ]
Identify the highest power of each prime factor: [ 3 ] (from 3 and 15) [ 2 ] (from 2) [ 5 ] (from 15)
Multiply the highest powers of the prime factors together to find the LCM: [ \text{LCM} = 3 \times 2 \times 5 ] [ \text{LCM} = 30 ]

Therefore, the least common multiple of 3, 2, and 15 is 30.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 3

Jeremiah Andrews

The least common multiple (LCM) of 3, 2, and 15 is 30.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.