How do you find the least common multiple of 9, 6, and 2?

Answer 1

Factor each number to its prime factors multiply all the prime factors together, use each prime number only once.

9 can be factored into # 3 xx 3# so nine has two factors of 3
6 can be factored into # 3 xx 2 # so nine has one factor of 3 and one factor of 2.

( since nine already has two factors of 3 the factor of three from six does not need to be used)

2 can be factored into # 2 xx 1 # so 2 has one factor o2

(Since factor of two already exists in six, the second factor of is unnecessary)

Multiplying the distinct factors thus yields

# 3 xx 3 xx 2 = 18#

18 is the least frequent multiple.

Sign up to view the whole answer

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

Sign up with email
Answer 2

To find the least common multiple (LCM) of 9, 6, and 2:

  1. List the prime factors of each number:

    • 9 = (3 \times 3)
    • 6 = (2 \times 3)
    • 2 = (2)
  2. Identify all the unique prime factors: (2) and (3).

  3. Take the highest power of each prime factor present in any of the numbers:

    • Highest power of (2) is (2^1).
    • Highest power of (3) is (3^2).
  4. Multiply these highest powers together to find the LCM: [ LCM(9, 6, 2) = 2^1 \times 3^2 = 2 \times 9 = 18 ]

Therefore, the least common multiple of 9, 6, and 2 is 18.

Sign up to view the whole answer

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

Sign up with email
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.

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.

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.

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.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7