Least Common Multiple of 44/486, 103/98, 246/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/486, 103/98, 246/538 quickly i.e. 278718 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/486, 103/98, 246/538 is 278718.

LCM(44/486, 103/98, 246/538) = 278718

LCM of 44/486, 103/98, 246/538

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 44/486,103/98,246/538

Given numbers are 44/486,103/98,246/538

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 44,103,246

Least Common Multiple of Numerators i.e. LCM of 44,103,246 is 557436.

GCF of Denominators means GCF of 486,98,538 as per the given fractions.

GCF of 486,98,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,103,246

LCM of Fractions 44/486,103/98,246/538 is 278718

2 44, 103, 246
22, 103, 123

∴ So the LCM of the given numbers is 2 x 22 x 103 x 123 = 557436

Least Common Multiple of 44,103,246 with GCF Formula

Least Common Multiple of 44,103,246 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 44,103,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,103,246) = 1

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

GCF(44,103,246) x common factors =1 x 2 = 2

LCM(44,103,246) = ( 44 × 103 × 246 ) / 2

LCM(44,103,246) = 1114872 / 2

LCM(44,103,246) = 557436


Lets's calculate GCF of 486,98,538

2 486, 98, 538
243, 49, 269

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 557436/2

Therefore the LCM of Fractions 44/486,103/98,246/538 is 278718

Greatest Common Factor of 486,98,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 486,98,538 By Matching Biggest Common Factor Method

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 486,98,538 . The biggest common factor number is the GCF number.
So the greatest common factor 486,98,538 is 2.


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 44/486, 103/98, 246/538

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 44/486, 103/98, 246/538?

Answer: LCM of Numerators as per given numbers 44/486, 103/98, 246/538 is

LCM of Numerators i.e. for 44,103,246 is 557436

GCF of denominators i.e. for 486,98,538 is 2.

Thus, LCM of Fractions is 278718.Finally, LCM of Fractions for 44/486, 103/98, 246/538 is 278718.