Least Common Multiple of 600/500, 4156/3243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 600/500, 4156/3243 quickly i.e. 623400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 600/500, 4156/3243 is 623400.

LCM(600/500, 4156/3243) = 623400

LCM of 600/500, 4156/3243

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 600/500,4156/3243

Given numbers are 600/500,4156/3243

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 600,4156

Least Common Multiple of Numerators i.e. LCM of 600,4156 is 623400.

GCF of Denominators means GCF of 500,3243 as per the given fractions.

GCF of 500,3243 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 600,4156

LCM of Fractions 600/500,4156/3243 is 623400

2 600, 4156
2 300, 2078
150, 1039

∴ So the LCM of the given numbers is 2 x 2 x 150 x 1039 = 623400

Least Common Multiple of 600,4156 with GCF Formula

Least Common Multiple of 600,4156 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 600,4156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,4156) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(600,4156) x common factors =4 x 1 = 4

LCM(600,4156) = ( 600 × 4156 ) / 4

LCM(600,4156) = 2493600 / 4

LCM(600,4156) = 623400


Lets's calculate GCF of 500,3243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 623400/1

Therefore the LCM of Fractions 600/500,4156/3243 is 623400

Greatest Common Factor of 500,3243 By Matching Biggest Common Factor Method

Greatest Common Factor of 500,3243 By Matching Biggest Common Factor Method

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 3243

List of positive integer factors of 3243 that divides 3243 without a remainder.

1,3,23,47,69,141,1081,3243

Greatest Common Factor

We found the factors 500,3243 . The biggest common factor number is the GCF number.
So the greatest common factor 500,3243 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 600/500, 4156/3243

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 600/500, 4156/3243?

Answer: LCM of Numerators as per given numbers 600/500, 4156/3243 is

LCM of Numerators i.e. for 600,4156 is 623400

GCF of denominators i.e. for 500,3243 is 1.

Thus, LCM of Fractions is 623400.Finally, LCM of Fractions for 600/500, 4156/3243 is 623400.