Least Common Multiple of 4676/531, 2359/963

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4676/531, 2359/963 quickly i.e. 1575812/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4676/531, 2359/963 is 1575812/9.

LCM(4676/531, 2359/963) = 1575812/9

LCM of 4676/531, 2359/963

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 4676/531,2359/963

Given numbers are 4676/531,2359/963

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 4676,2359

Least Common Multiple of Numerators i.e. LCM of 4676,2359 is 1575812.

GCF of Denominators means GCF of 531,963 as per the given fractions.

GCF of 531,963 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4676,2359

LCM of Fractions 4676/531,2359/963 is 1575812/9

7 4676, 2359
668, 337

∴ So the LCM of the given numbers is 7 x 668 x 337 = 1575812

Least Common Multiple of 4676,2359 with GCF Formula

Least Common Multiple of 4676,2359 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 4676,2359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4676,2359) = 7

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

GCF(4676,2359) x common factors =7 x 1 = 7

LCM(4676,2359) = ( 4676 × 2359 ) / 7

LCM(4676,2359) = 11030684 / 7

LCM(4676,2359) = 1575812


Lets's calculate GCF of 531,963

3 531, 963
3 177, 321
59, 107

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1575812/9

Therefore the LCM of Fractions 4676/531,2359/963 is 1575812/9

Greatest Common Factor of 531,963 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,963 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Greatest Common Factor

We found the factors 531,963 . The biggest common factor number is the GCF number.
So the greatest common factor 531,963 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4676/531, 2359/963

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 4676/531, 2359/963?

Answer: LCM of Numerators as per given numbers 4676/531, 2359/963 is

LCM of Numerators i.e. for 4676,2359 is 1575812

GCF of denominators i.e. for 531,963 is 9.

Thus, LCM of Fractions is 1575812/9.Finally, LCM of Fractions for 4676/531, 2359/963 is 1575812/9.