Least Common Multiple of 21/600, 305/633, 413/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/600, 305/633, 413/113 quickly i.e. 377895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/600, 305/633, 413/113 is 377895.

LCM(21/600, 305/633, 413/113) = 377895

LCM of 21/600, 305/633, 413/113

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 21/600,305/633,413/113

Given numbers are 21/600,305/633,413/113

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 21,305,413

Least Common Multiple of Numerators i.e. LCM of 21,305,413 is 377895.

GCF of Denominators means GCF of 600,633,113 as per the given fractions.

GCF of 600,633,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,305,413

LCM of Fractions 21/600,305/633,413/113 is 377895

7 21, 305, 413
3, 305, 59

∴ So the LCM of the given numbers is 7 x 3 x 305 x 59 = 377895

Least Common Multiple of 21,305,413 with GCF Formula

Least Common Multiple of 21,305,413 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 21,305,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,305,413) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,305,413) x common factors =1 x 7 = 7

LCM(21,305,413) = ( 21 × 305 × 413 ) / 7

LCM(21,305,413) = 2645265 / 7

LCM(21,305,413) = 377895


Lets's calculate GCF of 600,633,113

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377895/1

Therefore the LCM of Fractions 21/600,305/633,413/113 is 377895

Greatest Common Factor of 600,633,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,633,113 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 600,633,113 . The biggest common factor number is the GCF number.
So the greatest common factor 600,633,113 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 21/600, 305/633, 413/113

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 21/600, 305/633, 413/113?

Answer: LCM of Numerators as per given numbers 21/600, 305/633, 413/113 is

LCM of Numerators i.e. for 21,305,413 is 377895

GCF of denominators i.e. for 600,633,113 is 1.

Thus, LCM of Fractions is 377895.Finally, LCM of Fractions for 21/600, 305/633, 413/113 is 377895.