Use prime factorization to find the LCM of 30 and 40.
A. 90
B. 120
C. 150
D. 200
Please Help!!!
1200.are you need total process?
http://www.mathsisfun.com/least-common-multiple.html
1200?????????? That's not an answer!!!!!!!!
You're right, Alanna. 1200 is much too big.
the answer is 120
120 because 40 and 30 both do not go into 90
150 and 200!
To find the Least Common Multiple (LCM) of 30 and 40, we can use prime factorization. Here's how you can do it step by step:
Step 1: Prime factorize both numbers.
- Prime factorization of 30: 2 × 3 × 5
- Prime factorization of 40: 2 × 2 × 2 × 5
Step 2: Identify all the prime factors and their highest powers present in either of the numbers.
- Prime factors: 2, 3, 5
- Highest powers for each prime factor:
- 2: highest power is 3 (from 40)
- 3: highest power is 1 (from 30)
- 5: highest power is 1 (from both numbers)
Step 3: Multiply the prime factors raised to their highest power.
- LCM = 2^3 × 3^1 × 5^1
Step 4: Calculate the LCM.
- LCM = 8 × 3 × 5 = 120
Therefore, the LCM of 30 and 40 is 120. So, the correct answer is B.