Least Common Multiple of 84/246, 123/725, 385/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/246, 123/725, 385/903 quickly i.e. 189420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/246, 123/725, 385/903 is 189420.

LCM(84/246, 123/725, 385/903) = 189420

LCM of 84/246, 123/725, 385/903

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 84/246,123/725,385/903

Given numbers are 84/246,123/725,385/903

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 84,123,385

Least Common Multiple of Numerators i.e. LCM of 84,123,385 is 189420.

GCF of Denominators means GCF of 246,725,903 as per the given fractions.

GCF of 246,725,903 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,123,385

LCM of Fractions 84/246,123/725,385/903 is 189420

3 84, 123, 385
7 28, 41, 385
4, 41, 55

∴ So the LCM of the given numbers is 3 x 7 x 4 x 41 x 55 = 189420

Least Common Multiple of 84,123,385 with GCF Formula

Least Common Multiple of 84,123,385 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 84,123,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,123,385) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(84,123,385) x common factors =1 x 21 = 21

LCM(84,123,385) = ( 84 × 123 × 385 ) / 21

LCM(84,123,385) = 3977820 / 21

LCM(84,123,385) = 189420


Lets's calculate GCF of 246,725,903

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 189420/1

Therefore the LCM of Fractions 84/246,123/725,385/903 is 189420

Greatest Common Factor of 246,725,903 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,725,903 By Matching Biggest Common Factor Method

Factors of 246

List of positive integer factors of 246 that divides 246 without a remainder.

1,2,3,6,41,82,123,246

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 903

List of positive integer factors of 903 that divides 903 without a remainder.

1,3,7,21,43,129,301,903

Greatest Common Factor

We found the factors 246,725,903 . The biggest common factor number is the GCF number.
So the greatest common factor 246,725,903 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/246, 123/725, 385/903

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 84/246, 123/725, 385/903?

Answer: LCM of Numerators as per given numbers 84/246, 123/725, 385/903 is

LCM of Numerators i.e. for 84,123,385 is 189420

GCF of denominators i.e. for 246,725,903 is 1.

Thus, LCM of Fractions is 189420.Finally, LCM of Fractions for 84/246, 123/725, 385/903 is 189420.