Least Common Multiple of 572/762, 8178/4941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 572/762, 8178/4941 quickly i.e. 779636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 572/762, 8178/4941 is 779636.

LCM(572/762, 8178/4941) = 779636

LCM of 572/762, 8178/4941

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 572/762,8178/4941

Given numbers are 572/762,8178/4941

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 572,8178

Least Common Multiple of Numerators i.e. LCM of 572,8178 is 2338908.

GCF of Denominators means GCF of 762,4941 as per the given fractions.

GCF of 762,4941 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 572,8178

LCM of Fractions 572/762,8178/4941 is 779636

2 572, 8178
286, 4089

∴ So the LCM of the given numbers is 2 x 286 x 4089 = 2338908

Least Common Multiple of 572,8178 with GCF Formula

Least Common Multiple of 572,8178 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 572,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,8178) = 2

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

GCF(572,8178) x common factors =2 x 1 = 2

LCM(572,8178) = ( 572 × 8178 ) / 2

LCM(572,8178) = 4677816 / 2

LCM(572,8178) = 2338908


Lets's calculate GCF of 762,4941

3 762, 4941
254, 1647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2338908/3

Therefore the LCM of Fractions 572/762,8178/4941 is 779636

Greatest Common Factor of 762,4941 By Matching Biggest Common Factor Method

Greatest Common Factor of 762,4941 By Matching Biggest Common Factor Method

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 4941

List of positive integer factors of 4941 that divides 4941 without a remainder.

1,3,9,27,61,81,183,549,1647,4941

Greatest Common Factor

We found the factors 762,4941 . The biggest common factor number is the GCF number.
So the greatest common factor 762,4941 is 3.


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 572/762, 8178/4941

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 572/762, 8178/4941?

Answer: LCM of Numerators as per given numbers 572/762, 8178/4941 is

LCM of Numerators i.e. for 572,8178 is 2338908

GCF of denominators i.e. for 762,4941 is 3.

Thus, LCM of Fractions is 779636.Finally, LCM of Fractions for 572/762, 8178/4941 is 779636.