Least Common Multiple of 78/380, 76/500, 642/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/380, 76/500, 642/836 quickly i.e. 79287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/380, 76/500, 642/836 is 79287.

LCM(78/380, 76/500, 642/836) = 79287

LCM of 78/380, 76/500, 642/836

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 78/380,76/500,642/836

Given numbers are 78/380,76/500,642/836

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 78,76,642

Least Common Multiple of Numerators i.e. LCM of 78,76,642 is 317148.

GCF of Denominators means GCF of 380,500,836 as per the given fractions.

GCF of 380,500,836 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,76,642

LCM of Fractions 78/380,76/500,642/836 is 79287

2 78, 76, 642
3 39, 38, 321
13, 38, 107

∴ So the LCM of the given numbers is 2 x 3 x 13 x 38 x 107 = 317148

Least Common Multiple of 78,76,642 with GCF Formula

Least Common Multiple of 78,76,642 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 78,76,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,76,642) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,76,642) x common factors =2 x 6 = 12

LCM(78,76,642) = ( 78 × 76 × 642 ) / 12

LCM(78,76,642) = 3805776 / 12

LCM(78,76,642) = 317148


Lets's calculate GCF of 380,500,836

2 380, 500, 836
2 190, 250, 418
95, 125, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 317148/4

Therefore the LCM of Fractions 78/380,76/500,642/836 is 79287

Greatest Common Factor of 380,500,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,500,836 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 380,500,836 . The biggest common factor number is the GCF number.
So the greatest common factor 380,500,836 is 4.


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 78/380, 76/500, 642/836

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 78/380, 76/500, 642/836?

Answer: LCM of Numerators as per given numbers 78/380, 76/500, 642/836 is

LCM of Numerators i.e. for 78,76,642 is 317148

GCF of denominators i.e. for 380,500,836 is 4.

Thus, LCM of Fractions is 79287.Finally, LCM of Fractions for 78/380, 76/500, 642/836 is 79287.