What is the least common multiple of 35, 70, 140
Isn't it 140?
http://www.math.com/school/subject1/lessons/S1U3L3DP.html
To find the least common multiple (LCM) of 35, 70, and 140, we can follow a step-by-step method:
Step 1: Prime factorization
Prime factorize each number:
35 = 5 * 7
70 = 2 * 5 * 7
140 = 2^2 * 5 * 7
Step 2: Identify the highest powers
Identify the highest power of each prime factor in the prime factorization of each number:
35 = 5 * 7 (highest power of 5 = 1, highest power of 7 = 1)
70 = 2 * 5 * 7 (highest power of 2 = 1, highest power of 5 = 1, highest power of 7 = 1)
140 = 2^2 * 5 * 7 (highest power of 2 = 2, highest power of 5 = 1, highest power of 7 = 1)
Step 3: Multiply the highest powers
Multiply the highest powers of each prime factor:
2^2 * 5 * 7 = 4 * 5 * 7 = 140
Therefore, the least common multiple of 35, 70, and 140 is 140.