Least Common Multiple of 51/298, 892/137, 874/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/298, 892/137, 874/559 quickly i.e. 19880004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/298, 892/137, 874/559 is 19880004.

LCM(51/298, 892/137, 874/559) = 19880004

LCM of 51/298, 892/137, 874/559

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 51/298,892/137,874/559

Given numbers are 51/298,892/137,874/559

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 51,892,874

Least Common Multiple of Numerators i.e. LCM of 51,892,874 is 19880004.

GCF of Denominators means GCF of 298,137,559 as per the given fractions.

GCF of 298,137,559 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,892,874

LCM of Fractions 51/298,892/137,874/559 is 19880004

2 51, 892, 874
51, 446, 437

∴ So the LCM of the given numbers is 2 x 51 x 446 x 437 = 19880004

Least Common Multiple of 51,892,874 with GCF Formula

Least Common Multiple of 51,892,874 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 51,892,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,892,874) = 1

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

GCF(51,892,874) x common factors =1 x 2 = 2

LCM(51,892,874) = ( 51 × 892 × 874 ) / 2

LCM(51,892,874) = 39760008 / 2

LCM(51,892,874) = 19880004


Lets's calculate GCF of 298,137,559

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19880004/1

Therefore the LCM of Fractions 51/298,892/137,874/559 is 19880004

Greatest Common Factor of 298,137,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 298,137,559 By Matching Biggest Common Factor Method

Factors of 298

List of positive integer factors of 298 that divides 298 without a remainder.

1,2,149,298

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 298,137,559 . The biggest common factor number is the GCF number.
So the greatest common factor 298,137,559 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 51/298, 892/137, 874/559

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 51/298, 892/137, 874/559?

Answer: LCM of Numerators as per given numbers 51/298, 892/137, 874/559 is

LCM of Numerators i.e. for 51,892,874 is 19880004

GCF of denominators i.e. for 298,137,559 is 1.

Thus, LCM of Fractions is 19880004.Finally, LCM of Fractions for 51/298, 892/137, 874/559 is 19880004.