Least Common Multiple of 2747/381, 4251/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2747/381, 4251/572 quickly i.e. 11677497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2747/381, 4251/572 is 11677497.

LCM(2747/381, 4251/572) = 11677497

LCM of 2747/381, 4251/572

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 2747/381,4251/572

Given numbers are 2747/381,4251/572

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 2747,4251

Least Common Multiple of Numerators i.e. LCM of 2747,4251 is 11677497.

GCF of Denominators means GCF of 381,572 as per the given fractions.

GCF of 381,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2747,4251

LCM of Fractions 2747/381,4251/572 is 11677497

Given numbers has no common factors except 1. So, there LCM is their product i.e 11677497

Least Common Multiple of 2747,4251 with GCF Formula

Least Common Multiple of 2747,4251 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 2747,4251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2747,4251) = 1

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

GCF(2747,4251) x common factors =1 x 1 = 1

LCM(2747,4251) = ( 2747 × 4251 ) / 1

LCM(2747,4251) = 11677497 / 1

LCM(2747,4251) = 11677497


Lets's calculate GCF of 381,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11677497/1

Therefore the LCM of Fractions 2747/381,4251/572 is 11677497

Greatest Common Factor of 381,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 381,572 By Matching Biggest Common Factor Method

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 381,572 . The biggest common factor number is the GCF number.
So the greatest common factor 381,572 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2747/381, 4251/572

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 2747/381, 4251/572?

Answer: LCM of Numerators as per given numbers 2747/381, 4251/572 is

LCM of Numerators i.e. for 2747,4251 is 11677497

GCF of denominators i.e. for 381,572 is 1.

Thus, LCM of Fractions is 11677497.Finally, LCM of Fractions for 2747/381, 4251/572 is 11677497.