Least Common Multiple of 82/48, 56/226, 103/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/48, 56/226, 103/716 quickly i.e. 118244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/48, 56/226, 103/716 is 118244.

LCM(82/48, 56/226, 103/716) = 118244

LCM of 82/48, 56/226, 103/716

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 82/48,56/226,103/716

Given numbers are 82/48,56/226,103/716

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 82,56,103

Least Common Multiple of Numerators i.e. LCM of 82,56,103 is 236488.

GCF of Denominators means GCF of 48,226,716 as per the given fractions.

GCF of 48,226,716 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,56,103

LCM of Fractions 82/48,56/226,103/716 is 118244

2 82, 56, 103
41, 28, 103

∴ So the LCM of the given numbers is 2 x 41 x 28 x 103 = 236488

Least Common Multiple of 82,56,103 with GCF Formula

Least Common Multiple of 82,56,103 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 82,56,103 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,56,103) = 1

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

GCF(82,56,103) x common factors =1 x 2 = 2

LCM(82,56,103) = ( 82 × 56 × 103 ) / 2

LCM(82,56,103) = 472976 / 2

LCM(82,56,103) = 236488


Lets's calculate GCF of 48,226,716

2 48, 226, 716
24, 113, 358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 236488/2

Therefore the LCM of Fractions 82/48,56/226,103/716 is 118244

Greatest Common Factor of 48,226,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,226,716 By Matching Biggest Common Factor Method

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 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 48,226,716 . The biggest common factor number is the GCF number.
So the greatest common factor 48,226,716 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 82/48, 56/226, 103/716

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 82/48, 56/226, 103/716?

Answer: LCM of Numerators as per given numbers 82/48, 56/226, 103/716 is

LCM of Numerators i.e. for 82,56,103 is 236488

GCF of denominators i.e. for 48,226,716 is 2.

Thus, LCM of Fractions is 118244.Finally, LCM of Fractions for 82/48, 56/226, 103/716 is 118244.