Least Common Multiple of 32/548, 79/785, 918/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/548, 79/785, 918/540 quickly i.e. 1160352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/548, 79/785, 918/540 is 1160352.

LCM(32/548, 79/785, 918/540) = 1160352

LCM of 32/548, 79/785, 918/540

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 32/548,79/785,918/540

Given numbers are 32/548,79/785,918/540

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 32,79,918

Least Common Multiple of Numerators i.e. LCM of 32,79,918 is 1160352.

GCF of Denominators means GCF of 548,785,540 as per the given fractions.

GCF of 548,785,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,79,918

LCM of Fractions 32/548,79/785,918/540 is 1160352

2 32, 79, 918
16, 79, 459

∴ So the LCM of the given numbers is 2 x 16 x 79 x 459 = 1160352

Least Common Multiple of 32,79,918 with GCF Formula

Least Common Multiple of 32,79,918 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 32,79,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,79,918) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,79,918) x common factors =1 x 2 = 2

LCM(32,79,918) = ( 32 × 79 × 918 ) / 2

LCM(32,79,918) = 2320704 / 2

LCM(32,79,918) = 1160352


Lets's calculate GCF of 548,785,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1160352/1

Therefore the LCM of Fractions 32/548,79/785,918/540 is 1160352

Greatest Common Factor of 548,785,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 548,785,540 By Matching Biggest Common Factor Method

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 548,785,540 . The biggest common factor number is the GCF number.
So the greatest common factor 548,785,540 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 32/548, 79/785, 918/540

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 32/548, 79/785, 918/540?

Answer: LCM of Numerators as per given numbers 32/548, 79/785, 918/540 is

LCM of Numerators i.e. for 32,79,918 is 1160352

GCF of denominators i.e. for 548,785,540 is 1.

Thus, LCM of Fractions is 1160352.Finally, LCM of Fractions for 32/548, 79/785, 918/540 is 1160352.