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

Sagot :

Divide all numbers by prime factors

[tex]\begin{gathered} \mathrm{lcm}(14,21,40) \\ \end{gathered}[/tex]

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

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

The least common multiple is 840

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