SOLUTION: Find the least common multiple of 14, 21, and 35 a) 70 b) 10,290 c) 42 d) 210 Thank you for your help.

Question 117805: Find the least common multiple of 14, 21, and 35
a) 70 b) 10,290 c) 42 d) 210
Thank you for your help.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

First, list the prime factorization of each number. If you need help with prime factorization, check out this solver.

14: 2*7

21: 3*7

35: 5*7

Now highlight the unique factors. Remember, highlight the factors that occur most frequently

14: 2*7

21: 3*7

35: 5*7

Now multiply all of the highlighted factors

2*3*5*7=210

So the LCM of 14, 21, and 35 is 210

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