Least Common Multiple of 7188/740, 4971/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7188/740, 4971/864 quickly i.e. 2977629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7188/740, 4971/864 is 2977629.

LCM(7188/740, 4971/864) = 2977629

LCM of 7188/740, 4971/864

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 7188/740,4971/864

Given numbers are 7188/740,4971/864

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 7188,4971

Least Common Multiple of Numerators i.e. LCM of 7188,4971 is 11910516.

GCF of Denominators means GCF of 740,864 as per the given fractions.

GCF of 740,864 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7188,4971

LCM of Fractions 7188/740,4971/864 is 2977629

3 7188, 4971
2396, 1657

∴ So the LCM of the given numbers is 3 x 2396 x 1657 = 11910516

Least Common Multiple of 7188,4971 with GCF Formula

Least Common Multiple of 7188,4971 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 7188,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7188,4971) = 3

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

GCF(7188,4971) x common factors =3 x 1 = 3

LCM(7188,4971) = ( 7188 × 4971 ) / 3

LCM(7188,4971) = 35731548 / 3

LCM(7188,4971) = 11910516


Lets's calculate GCF of 740,864

2 740, 864
2 370, 432
185, 216

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11910516/4

Therefore the LCM of Fractions 7188/740,4971/864 is 2977629

Greatest Common Factor of 740,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,864 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 740,864 . The biggest common factor number is the GCF number.
So the greatest common factor 740,864 is 4.


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 7188/740, 4971/864

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 7188/740, 4971/864?

Answer: LCM of Numerators as per given numbers 7188/740, 4971/864 is

LCM of Numerators i.e. for 7188,4971 is 11910516

GCF of denominators i.e. for 740,864 is 4.

Thus, LCM of Fractions is 2977629.Finally, LCM of Fractions for 7188/740, 4971/864 is 2977629.