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11 votes
11 votes
Use the method of dividing byprime factor to find the least common multiple of 14,21,40

User Crashspeeder
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1 Answer

6 votes
6 votes

Divide all numbers by prime factors


\begin{gathered} \mathrm{lcm}(14,21,40) \\ \end{gathered}

14 21 40 | 2

7 21 20 | 2

7 21 10 | 2

7 21 5 | 5

7 21 1 | 7

1 3 | 3

1 |

Now, multiply all this numbers to find the least common multiple


\mathrm{lcm}(14,21,40)=2\cdot2\cdot2\cdot5\cdot7\cdot3=840

The least common multiple is 840

User Offir
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