Least Common Multiple of 253, 300, 628, 580, 892

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 253, 300, 628, 580, 892 i.e. 77062712100 smallest integer divisible by all numbers.

Least common multiple (LCM) of 253, 300, 628, 580, 892 is 77062712100.

LCM(253, 300, 628, 580, 892) = 77062712100

LCM of 253, 300, 628, 580, 892

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

LCM of:

Least Common Multiple of 253,300,628,580,892

Least Common Multiple (LCM) of 253,300,628,580,892 is 77062712100

2 253, 300, 628, 580, 892
2 253, 150, 314, 290, 446
5 253, 75, 157, 145, 223
253, 15, 157, 29, 223

∴ So the LCM of the given numbers is 2 x 2 x 5 x 253 x 15 x 157 x 29 x 223 = 77062712100

Least Common Multiple of 253,300,628,580,892 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 253,300,628,580,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,300,628,580,892) = 1

common factors(in case of two or more numbers have common factors) = 320

GCF(253,300,628,580,892) x common factors =1 x 320 = 320

LCM(253,300,628,580,892) = ( 253 × 300 × 628 × 580 × 892 ) / 320

LCM(253,300,628,580,892) = 24660067872000 / 320

LCM(253,300,628,580,892) = 77062712100

∴ Least Common Multiple of 253,300,628,580,892 is 77062712100

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 253, 300, 628, 580, 892

1. What is the LCM of 253, 300, 628, 580, 892?

Answer: LCM of 253, 300, 628, 580, 892 is 77062712100.

2. What are the Factors of 77062712100?

Answer: Factors of 77062712100 are . There are integers that are factors of 77062712100

3. How to Find the LCM of 253, 300, 628, 580, 892 ?

Least Common Multiple of 253, 300, 628, 580, 892.

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(253, 300, 628, 580, 892) = 2 x 2 x 3 x 5 x 5 x 11 x 23 x 29 x 157 x 223 = 77062712100.