Least Common Multiple of 768, 231, 462, 80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 768, 231, 462, 80 i.e. 295680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 768, 231, 462, 80 is 295680.

LCM(768, 231, 462, 80) = 295680

LCM of 768, 231, 462, 80

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 768,231,462,80

Least Common Multiple (LCM) of 768,231,462,80 is 295680

2 768, 231, 462, 80
2 384, 231, 231, 40
2 192, 231, 231, 20
2 96, 231, 231, 10
3 48, 231, 231, 5
7 16, 77, 77, 5
11 16, 11, 11, 5
16, 1, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 11 x 16 x 1 x 1 x 5 = 295680

Least Common Multiple of 768,231,462,80 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 768,231,462,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,231,462,80) = 1

common factors(in case of two or more numbers have common factors) = 22176

GCF(768,231,462,80) x common factors =1 x 22176 = 22176

LCM(768,231,462,80) = ( 768 × 231 × 462 × 80 ) / 22176

LCM(768,231,462,80) = 6556999680 / 22176

LCM(768,231,462,80) = 295680

∴ Least Common Multiple of 768,231,462,80 is 295680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 768, 231, 462, 80

1. What is the LCM of 768, 231, 462, 80?

Answer: LCM of 768, 231, 462, 80 is 295680.

2. What are the Factors of 295680?

Answer: Factors of 295680 are . There are integers that are factors of 295680

3. How to Find the LCM of 768, 231, 462, 80 ?

Least Common Multiple of 768, 231, 462, 80.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(768, 231, 462, 80) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 = 295680.