Least Common Multiple of 297/541, 918/484, 979/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 297/541, 918/484, 979/779 quickly i.e. 898722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 297/541, 918/484, 979/779 is 898722.

LCM(297/541, 918/484, 979/779) = 898722

LCM of 297/541, 918/484, 979/779

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 297/541,918/484,979/779

Given numbers are 297/541,918/484,979/779

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 297,918,979

Least Common Multiple of Numerators i.e. LCM of 297,918,979 is 898722.

GCF of Denominators means GCF of 541,484,779 as per the given fractions.

GCF of 541,484,779 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 297,918,979

LCM of Fractions 297/541,918/484,979/779 is 898722

3 297, 918, 979
3 99, 306, 979
3 33, 102, 979
11 11, 34, 979
1, 34, 89

∴ So the LCM of the given numbers is 3 x 3 x 3 x 11 x 1 x 34 x 89 = 898722

Least Common Multiple of 297,918,979 with GCF Formula

Least Common Multiple of 297,918,979 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 297,918,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,918,979) = 1

common factors(in case of two or more numbers have common factors) = 297

GCF(297,918,979) x common factors =1 x 297 = 297

LCM(297,918,979) = ( 297 × 918 × 979 ) / 297

LCM(297,918,979) = 266920434 / 297

LCM(297,918,979) = 898722


Lets's calculate GCF of 541,484,779

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 898722/1

Therefore the LCM of Fractions 297/541,918/484,979/779 is 898722

Greatest Common Factor of 541,484,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 541,484,779 By Matching Biggest Common Factor Method

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 541,484,779 . The biggest common factor number is the GCF number.
So the greatest common factor 541,484,779 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 297/541, 918/484, 979/779

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 297/541, 918/484, 979/779?

Answer: LCM of Numerators as per given numbers 297/541, 918/484, 979/779 is

LCM of Numerators i.e. for 297,918,979 is 898722

GCF of denominators i.e. for 541,484,779 is 1.

Thus, LCM of Fractions is 898722.Finally, LCM of Fractions for 297/541, 918/484, 979/779 is 898722.