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

crossoverman9b

crossoverman9b

Answered question

2022-06-27

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

Answer & Explanation

Sydnee Villegas

Sydnee Villegas

Beginner2022-06-28Added 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
Ezekiel Yoder

Ezekiel Yoder

Beginner2022-06-29Added 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 × 5
Step 2
12 = 2 2 × 3
lcm ( 8 , 10 , 12 ) = 2 3 × 3 × 5 = 120

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