Least Common Multiple of 28/108, 76/543, 432/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/108, 76/543, 432/748 quickly i.e. 57456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/108, 76/543, 432/748 is 57456.

LCM(28/108, 76/543, 432/748) = 57456

LCM of 28/108, 76/543, 432/748

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 28/108,76/543,432/748

Given numbers are 28/108,76/543,432/748

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 28,76,432

Least Common Multiple of Numerators i.e. LCM of 28,76,432 is 57456.

GCF of Denominators means GCF of 108,543,748 as per the given fractions.

GCF of 108,543,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,76,432

LCM of Fractions 28/108,76/543,432/748 is 57456

2 28, 76, 432
2 14, 38, 216
7, 19, 108

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 108 = 57456

Least Common Multiple of 28,76,432 with GCF Formula

Least Common Multiple of 28,76,432 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 28,76,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,76,432) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(28,76,432) x common factors =4 x 4 = 16

LCM(28,76,432) = ( 28 × 76 × 432 ) / 16

LCM(28,76,432) = 919296 / 16

LCM(28,76,432) = 57456


Lets's calculate GCF of 108,543,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57456/1

Therefore the LCM of Fractions 28/108,76/543,432/748 is 57456

Greatest Common Factor of 108,543,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,543,748 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 108,543,748 . The biggest common factor number is the GCF number.
So the greatest common factor 108,543,748 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 28/108, 76/543, 432/748

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 28/108, 76/543, 432/748?

Answer: LCM of Numerators as per given numbers 28/108, 76/543, 432/748 is

LCM of Numerators i.e. for 28,76,432 is 57456

GCF of denominators i.e. for 108,543,748 is 1.

Thus, LCM of Fractions is 57456.Finally, LCM of Fractions for 28/108, 76/543, 432/748 is 57456.