Finding the Least Common Multiple

The video tutorial explains how to find the least common multiple (LCM) of numbers and variables. It begins with an introduction to the concept of LCM, followed by a step-by-step process to find the LCM of the numbers 7 and 5. The tutorial then covers how to determine the LCM for variables a and b, concluding with a practice session to reinforce the learning.

What is the first step in finding the least common multiple of expressions?

• Focus only on the coefficients.

• Ignore the variables.

• Look at the expressions separately.

• Combine all terms together.

When focusing on numbers, what is the LCM of 7 and 5?

• 12

• 35

• 14

• 30

Why is 35 the LCM of 7 and 5?

• Because 35 is a prime number.

• Because 35 is the smallest number both 7 and 5 divide into.

• Because 35 is the sum of 7 and 5.

• Because 35 is a multiple of 10.

What is the LCM of the numbers 7 and 5?

• 35

• 12

• 25

• 30

What is the smallest number that 'a' divides into?

• a squared

• a cubed

• a

• a to the fourth

Why is 'a' considered the LCM for the variable 'a' in the expressions?

• Because 'a' is not present in both expressions.

• Because 'a' is a constant.

• Because 'a' is the largest term.

• Because 'a' is the smallest term both expressions can divide into.

Which term is the LCM for the variable 'a'?

• a squared

• a cubed

• a

• a to the fourth

What is the lowest term that both b squared and b divide into?

• b to the fourth

• b cubed

• b

• b squared

Why is b squared the LCM for the terms involving 'b'?

• Because b squared is a constant.

• Because b squared is not present in both expressions.

• Because b squared is the largest term.

• Because b squared is the smallest term both can divide into.

What is the LCM of the terms involving 'b'?

• b to the fourth

• b cubed

• b

• b squared