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

crossoverman9b 2022-06-27 Answered
What is the least common multiple of 8, 10, 12?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (2)

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
Did you like this example?
Subscribe for all access
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 × 5
Step 2
12 = 2 2 × 3
lcm ( 8 , 10 , 12 ) = 2 3 × 3 × 5 = 120
Did you like this example?
Subscribe for all access

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

New questions