Least Common Multiple of 78/94, 56/270, 372/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/94, 56/270, 372/418 quickly i.e. 33852 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/94, 56/270, 372/418 is 33852.

LCM(78/94, 56/270, 372/418) = 33852

LCM of 78/94, 56/270, 372/418

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 78/94,56/270,372/418

Given numbers are 78/94,56/270,372/418

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 78,56,372

Least Common Multiple of Numerators i.e. LCM of 78,56,372 is 67704.

GCF of Denominators means GCF of 94,270,418 as per the given fractions.

GCF of 94,270,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,56,372

LCM of Fractions 78/94,56/270,372/418 is 33852

2 78, 56, 372
2 39, 28, 186
3 39, 14, 93
13, 14, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 14 x 31 = 67704

Least Common Multiple of 78,56,372 with GCF Formula

Least Common Multiple of 78,56,372 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 78,56,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,56,372) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(78,56,372) x common factors =2 x 12 = 24

LCM(78,56,372) = ( 78 × 56 × 372 ) / 24

LCM(78,56,372) = 1624896 / 24

LCM(78,56,372) = 67704


Lets's calculate GCF of 94,270,418

2 94, 270, 418
47, 135, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67704/2

Therefore the LCM of Fractions 78/94,56/270,372/418 is 33852

Greatest Common Factor of 94,270,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,270,418 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 94,270,418 . The biggest common factor number is the GCF number.
So the greatest common factor 94,270,418 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 78/94, 56/270, 372/418

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 78/94, 56/270, 372/418?

Answer: LCM of Numerators as per given numbers 78/94, 56/270, 372/418 is

LCM of Numerators i.e. for 78,56,372 is 67704

GCF of denominators i.e. for 94,270,418 is 2.

Thus, LCM of Fractions is 33852.Finally, LCM of Fractions for 78/94, 56/270, 372/418 is 33852.