Least Common Multiple of 321/788, 327/336, 781/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 321/788, 327/336, 781/136 quickly i.e. 27326409/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/788, 327/336, 781/136 is 27326409/4.

LCM(321/788, 327/336, 781/136) = 27326409/4

LCM of 321/788, 327/336, 781/136

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 321/788,327/336,781/136

Given numbers are 321/788,327/336,781/136

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 321,327,781

Least Common Multiple of Numerators i.e. LCM of 321,327,781 is 27326409.

GCF of Denominators means GCF of 788,336,136 as per the given fractions.

GCF of 788,336,136 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,327,781

LCM of Fractions 321/788,327/336,781/136 is 27326409/4

3 321, 327, 781
107, 109, 781

∴ So the LCM of the given numbers is 3 x 107 x 109 x 781 = 27326409

Least Common Multiple of 321,327,781 with GCF Formula

Least Common Multiple of 321,327,781 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 321,327,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,327,781) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(321,327,781) x common factors =1 x 3 = 3

LCM(321,327,781) = ( 321 × 327 × 781 ) / 3

LCM(321,327,781) = 81979227 / 3

LCM(321,327,781) = 27326409


Lets's calculate GCF of 788,336,136

2 788, 336, 136
2 394, 168, 68
197, 84, 34

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27326409/4

Therefore the LCM of Fractions 321/788,327/336,781/136 is 27326409/4

Greatest Common Factor of 788,336,136 By Matching Biggest Common Factor Method

Greatest Common Factor of 788,336,136 By Matching Biggest Common Factor Method

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Greatest Common Factor

We found the factors 788,336,136 . The biggest common factor number is the GCF number.
So the greatest common factor 788,336,136 is 4.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 321/788, 327/336, 781/136

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 321/788, 327/336, 781/136?

Answer: LCM of Numerators as per given numbers 321/788, 327/336, 781/136 is

LCM of Numerators i.e. for 321,327,781 is 27326409

GCF of denominators i.e. for 788,336,136 is 4.

Thus, LCM of Fractions is 27326409/4.Finally, LCM of Fractions for 321/788, 327/336, 781/136 is 27326409/4.