Least Common Multiple of 80, 28, 490, 310

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 80, 28, 490, 310 i.e. 121520 smallest integer divisible by all numbers.

Least common multiple (LCM) of 80, 28, 490, 310 is 121520.

LCM(80, 28, 490, 310) = 121520

LCM of 80, 28, 490, 310

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

LCM of:

Least Common Multiple of 80,28,490,310

Least Common Multiple (LCM) of 80,28,490,310 is 121520

2 80, 28, 490, 310
2 40, 14, 245, 155
5 20, 7, 245, 155
7 4, 7, 49, 31
4, 1, 7, 31

∴ So the LCM of the given numbers is 2 x 2 x 5 x 7 x 4 x 1 x 7 x 31 = 121520

Least Common Multiple of 80,28,490,310 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 80,28,490,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,28,490,310) = 2

common factors(in case of two or more numbers have common factors) = 1400

GCF(80,28,490,310) x common factors =2 x 1400 = 2800

LCM(80,28,490,310) = ( 80 × 28 × 490 × 310 ) / 2800

LCM(80,28,490,310) = 340256000 / 2800

LCM(80,28,490,310) = 121520

∴ Least Common Multiple of 80,28,490,310 is 121520

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 80, 28, 490, 310

1. What is the LCM of 80, 28, 490, 310?

Answer: LCM of 80, 28, 490, 310 is 121520.

2. What are the Factors of 121520?

Answer: Factors of 121520 are . There are integers that are factors of 121520

3. How to Find the LCM of 80, 28, 490, 310 ?

Least Common Multiple of 80, 28, 490, 310.

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(80, 28, 490, 310) = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 31 = 121520.