Least Common Multiple of 79/297, 51/679, 458/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/297, 51/679, 458/418 quickly i.e. 1845282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/297, 51/679, 458/418 is 1845282.

LCM(79/297, 51/679, 458/418) = 1845282

LCM of 79/297, 51/679, 458/418

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 79/297,51/679,458/418

Given numbers are 79/297,51/679,458/418

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 79,51,458

Least Common Multiple of Numerators i.e. LCM of 79,51,458 is 1845282.

GCF of Denominators means GCF of 297,679,418 as per the given fractions.

GCF of 297,679,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,51,458

LCM of Fractions 79/297,51/679,458/418 is 1845282

Given numbers has no common factors except 1. So, there LCM is their product i.e 1845282

Least Common Multiple of 79,51,458 with GCF Formula

Least Common Multiple of 79,51,458 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 79,51,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,51,458) = 1

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

GCF(79,51,458) x common factors =1 x 1 = 1

LCM(79,51,458) = ( 79 × 51 × 458 ) / 1

LCM(79,51,458) = 1845282 / 1

LCM(79,51,458) = 1845282


Lets's calculate GCF of 297,679,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1845282/1

Therefore the LCM of Fractions 79/297,51/679,458/418 is 1845282

Greatest Common Factor of 297,679,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 297,679,418 By Matching Biggest Common Factor Method

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 297,679,418 . The biggest common factor number is the GCF number.
So the greatest common factor 297,679,418 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 79/297, 51/679, 458/418

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 79/297, 51/679, 458/418?

Answer: LCM of Numerators as per given numbers 79/297, 51/679, 458/418 is

LCM of Numerators i.e. for 79,51,458 is 1845282

GCF of denominators i.e. for 297,679,418 is 1.

Thus, LCM of Fractions is 1845282.Finally, LCM of Fractions for 79/297, 51/679, 458/418 is 1845282.