Least Common Multiple of 80, 35, 58, 493

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, 35, 58, 493 i.e. 276080 smallest integer divisible by all numbers.

Least common multiple (LCM) of 80, 35, 58, 493 is 276080.

LCM(80, 35, 58, 493) = 276080

LCM of 80, 35, 58, 493

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

LCM of:

Least Common Multiple of 80,35,58,493

Least Common Multiple (LCM) of 80,35,58,493 is 276080

2 80, 35, 58, 493
5 40, 35, 29, 493
29 8, 7, 29, 493
8, 7, 1, 17

∴ So the LCM of the given numbers is 2 x 5 x 29 x 8 x 7 x 1 x 17 = 276080

Least Common Multiple of 80,35,58,493 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 80,35,58,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,35,58,493) = 1

common factors(in case of two or more numbers have common factors) = 290

GCF(80,35,58,493) x common factors =1 x 290 = 290

LCM(80,35,58,493) = ( 80 × 35 × 58 × 493 ) / 290

LCM(80,35,58,493) = 80063200 / 290

LCM(80,35,58,493) = 276080

∴ Least Common Multiple of 80,35,58,493 is 276080

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 80, 35, 58, 493

1. What is the LCM of 80, 35, 58, 493?

Answer: LCM of 80, 35, 58, 493 is 276080.

2. What are the Factors of 276080?

Answer: Factors of 276080 are . There are integers that are factors of 276080

3. How to Find the LCM of 80, 35, 58, 493 ?

Least Common Multiple of 80, 35, 58, 493.

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, 35, 58, 493) = 2 x 2 x 2 x 2 x 5 x 7 x 17 x 29 = 276080.