Least Common Multiple of 82/134, 644/972, 893/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/134, 644/972, 893/298 quickly i.e. 11789386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/134, 644/972, 893/298 is 11789386.

LCM(82/134, 644/972, 893/298) = 11789386

LCM of 82/134, 644/972, 893/298

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 82/134,644/972,893/298

Given numbers are 82/134,644/972,893/298

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 82,644,893

Least Common Multiple of Numerators i.e. LCM of 82,644,893 is 23578772.

GCF of Denominators means GCF of 134,972,298 as per the given fractions.

GCF of 134,972,298 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,644,893

LCM of Fractions 82/134,644/972,893/298 is 11789386

2 82, 644, 893
41, 322, 893

∴ So the LCM of the given numbers is 2 x 41 x 322 x 893 = 23578772

Least Common Multiple of 82,644,893 with GCF Formula

Least Common Multiple of 82,644,893 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 82,644,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,644,893) = 1

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

GCF(82,644,893) x common factors =1 x 2 = 2

LCM(82,644,893) = ( 82 × 644 × 893 ) / 2

LCM(82,644,893) = 47157544 / 2

LCM(82,644,893) = 23578772


Lets's calculate GCF of 134,972,298

2 134, 972, 298
67, 486, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23578772/2

Therefore the LCM of Fractions 82/134,644/972,893/298 is 11789386

Greatest Common Factor of 134,972,298 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,972,298 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 298

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

1,2,149,298

Greatest Common Factor

We found the factors 134,972,298 . The biggest common factor number is the GCF number.
So the greatest common factor 134,972,298 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 82/134, 644/972, 893/298

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 82/134, 644/972, 893/298?

Answer: LCM of Numerators as per given numbers 82/134, 644/972, 893/298 is

LCM of Numerators i.e. for 82,644,893 is 23578772

GCF of denominators i.e. for 134,972,298 is 2.

Thus, LCM of Fractions is 11789386.Finally, LCM of Fractions for 82/134, 644/972, 893/298 is 11789386.