Least Common Multiple of 313, 380, 301, 845, 585

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 313, 380, 301, 845, 585 i.e. 54453229740 smallest integer divisible by all numbers.

Least common multiple (LCM) of 313, 380, 301, 845, 585 is 54453229740.

LCM(313, 380, 301, 845, 585) = 54453229740

LCM of 313, 380, 301, 845, 585

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

LCM of:

Least Common Multiple of 313,380,301,845,585

Least Common Multiple (LCM) of 313,380,301,845,585 is 54453229740

5 313, 380, 301, 845, 585
13 313, 76, 301, 169, 117
313, 76, 301, 13, 9

∴ So the LCM of the given numbers is 5 x 13 x 313 x 76 x 301 x 13 x 9 = 54453229740

Least Common Multiple of 313,380,301,845,585 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 313,380,301,845,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(313,380,301,845,585) = 1

common factors(in case of two or more numbers have common factors) = 325

GCF(313,380,301,845,585) x common factors =1 x 325 = 325

LCM(313,380,301,845,585) = ( 313 × 380 × 301 × 845 × 585 ) / 325

LCM(313,380,301,845,585) = 17697299665500 / 325

LCM(313,380,301,845,585) = 54453229740

∴ Least Common Multiple of 313,380,301,845,585 is 54453229740

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 313, 380, 301, 845, 585

1. What is the LCM of 313, 380, 301, 845, 585?

Answer: LCM of 313, 380, 301, 845, 585 is 54453229740.

2. What are the Factors of 54453229740?

Answer: Factors of 54453229740 are . There are integers that are factors of 54453229740

3. How to Find the LCM of 313, 380, 301, 845, 585 ?

Least Common Multiple of 313, 380, 301, 845, 585.

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(313, 380, 301, 845, 585) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 13 x 19 x 43 x 313 = 54453229740.