Least Common Multiple of 549/22, 721/48, 764/479

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/22, 721/48, 764/479 quickly i.e. 302413356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/22, 721/48, 764/479 is 302413356.

LCM(549/22, 721/48, 764/479) = 302413356

LCM of 549/22, 721/48, 764/479

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 549/22,721/48,764/479

Given numbers are 549/22,721/48,764/479

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 549,721,764

Least Common Multiple of Numerators i.e. LCM of 549,721,764 is 302413356.

GCF of Denominators means GCF of 22,48,479 as per the given fractions.

GCF of 22,48,479 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,721,764

LCM of Fractions 549/22,721/48,764/479 is 302413356

Given numbers has no common factors except 1. So, there LCM is their product i.e 302413356

Least Common Multiple of 549,721,764 with GCF Formula

Least Common Multiple of 549,721,764 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 549,721,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,721,764) = 1

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

GCF(549,721,764) x common factors =1 x 1 = 1

LCM(549,721,764) = ( 549 × 721 × 764 ) / 1

LCM(549,721,764) = 302413356 / 1

LCM(549,721,764) = 302413356


Lets's calculate GCF of 22,48,479

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302413356/1

Therefore the LCM of Fractions 549/22,721/48,764/479 is 302413356

Greatest Common Factor of 22,48,479 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,48,479 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1,479

Greatest Common Factor

We found the factors 22,48,479 . The biggest common factor number is the GCF number.
So the greatest common factor 22,48,479 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 549/22, 721/48, 764/479

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 549/22, 721/48, 764/479?

Answer: LCM of Numerators as per given numbers 549/22, 721/48, 764/479 is

LCM of Numerators i.e. for 549,721,764 is 302413356

GCF of denominators i.e. for 22,48,479 is 1.

Thus, LCM of Fractions is 302413356.Finally, LCM of Fractions for 549/22, 721/48, 764/479 is 302413356.