Find the LCM for the given numbers by an appropriate method. 135, 56, and 150
divide by 5 27 56 30
divide by 3 9 56 10
divide by 2 9 28 5
answer is 5 x 3 x 2 x 9 x 28 x 5
Why are you dividing by those numbers and which numbers are you dividing them by?
Are you saying
135 divided by 5 27 56 and 30
I just don't get what you are dividing
5, 6
To find the LCM (Least Common Multiple) for the given numbers 135, 56, and 150, we can use the prime factorization method.
Step 1: Prime factorize each number.
- 135: 3 x 3 x 3 x 5 = 3^3 x 5
- 56: 2 x 2 x 2 x 7 = 2^3 x 7
- 150: 2 x 3 x 5 x 5 = 2 x 3 x 5^2
Step 2: Identify the highest powers of each prime.
- The prime factors are: 2, 3, 5, and 7.
- The highest power of 2 is 3.
- The highest power of 3 is 3.
- The highest power of 5 is 2.
- There is no 7 in the prime factorization of 135 or 150, so the highest power of 7 is 0.
Step 3: Multiply the prime factors raised to their highest powers.
- LCM = 2^3 x 3^3 x 5^2 x 7^0
- LCM = 8 x 27 x 25
- LCM = 54,000
Therefore, the LCM for the given numbers 135, 56, and 150 is 54,000.