Least Common Multiple of 55, 80, 56, 460

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 55, 80, 56, 460 i.e. 141680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 55, 80, 56, 460 is 141680.

LCM(55, 80, 56, 460) = 141680

LCM of 55, 80, 56, 460

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

LCM of:

Least Common Multiple of 55,80,56,460

Least Common Multiple (LCM) of 55,80,56,460 is 141680

2 55, 80, 56, 460
2 55, 40, 28, 230
2 55, 20, 14, 115
5 55, 10, 7, 115
11, 2, 7, 23

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 2 x 7 x 23 = 141680

Least Common Multiple of 55,80,56,460 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 55,80,56,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,80,56,460) = 1

common factors(in case of two or more numbers have common factors) = 800

GCF(55,80,56,460) x common factors =1 x 800 = 800

LCM(55,80,56,460) = ( 55 × 80 × 56 × 460 ) / 800

LCM(55,80,56,460) = 113344000 / 800

LCM(55,80,56,460) = 141680

∴ Least Common Multiple of 55,80,56,460 is 141680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 55, 80, 56, 460

1. What is the LCM of 55, 80, 56, 460?

Answer: LCM of 55, 80, 56, 460 is 141680.

2. What are the Factors of 141680?

Answer: Factors of 141680 are . There are integers that are factors of 141680

3. How to Find the LCM of 55, 80, 56, 460 ?

Least Common Multiple of 55, 80, 56, 460.

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(55, 80, 56, 460) = 2 x 2 x 2 x 2 x 5 x 7 x 11 x 23 = 141680.