crossoverman9b
2022-06-27
Answered

What is the least common multiple of 8, 10, 12?

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Sydnee Villegas

Answered 2022-06-28
Author has **22** answers

Step 1

Multiples of 8 are $\{8,16,24,32,40,48,56,64,72,80,88,96,104,112,{120},....\}$

Multiples of 10 are $\{10,20,30,40,50,60,70,80,90,100,110,{120},....\}$

Multiples of 12 are $\{12,24,36,48,60,72,84,96,108,{120},....\}$

Step 2

Hence common multiples are $\{120,240,----\}$

and Least Common Multiple is 120

Multiples of 8 are $\{8,16,24,32,40,48,56,64,72,80,88,96,104,112,{120},....\}$

Multiples of 10 are $\{10,20,30,40,50,60,70,80,90,100,110,{120},....\}$

Multiples of 12 are $\{12,24,36,48,60,72,84,96,108,{120},....\}$

Step 2

Hence common multiples are $\{120,240,----\}$

and Least Common Multiple is 120

Ezekiel Yoder

Answered 2022-06-29
Author has **3** answers

Step 1

The general rule is to decompose the numbers into ' factors and then the lcm in the product of all factors raised to the highest power found in those numbers.

$8={2}^{3}$

$10=2\times 5$

Step 2

$12={2}^{2}\times 3$

$\mathrm{lcm}(8,10,12)={2}^{3}\times 3\times 5=120$

The general rule is to decompose the numbers into ' factors and then the lcm in the product of all factors raised to the highest power found in those numbers.

$8={2}^{3}$

$10=2\times 5$

Step 2

$12={2}^{2}\times 3$

$\mathrm{lcm}(8,10,12)={2}^{3}\times 3\times 5=120$

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