Least Common Multiple of 78/120, 3372/7191

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/120, 3372/7191 quickly i.e. 14612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/120, 3372/7191 is 14612.

LCM(78/120, 3372/7191) = 14612

LCM of 78/120, 3372/7191

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 78/120,3372/7191

Given numbers are 78/120,3372/7191

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 78,3372

Least Common Multiple of Numerators i.e. LCM of 78,3372 is 43836.

GCF of Denominators means GCF of 120,7191 as per the given fractions.

GCF of 120,7191 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,3372

LCM of Fractions 78/120,3372/7191 is 14612

2 78, 3372
3 39, 1686
13, 562

∴ So the LCM of the given numbers is 2 x 3 x 13 x 562 = 43836

Least Common Multiple of 78,3372 with GCF Formula

Least Common Multiple of 78,3372 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 78,3372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,3372) = 6

common factors(in case of two or more numbers have common factors) = 1

GCF(78,3372) x common factors =6 x 1 = 6

LCM(78,3372) = ( 78 × 3372 ) / 6

LCM(78,3372) = 263016 / 6

LCM(78,3372) = 43836


Lets's calculate GCF of 120,7191

3 120, 7191
40, 2397

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43836/3

Therefore the LCM of Fractions 78/120,3372/7191 is 14612

Greatest Common Factor of 120,7191 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,7191 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 7191

List of positive integer factors of 7191 that divides 7191 without a remainder.

1,3,9,17,47,51,141,153,423,799,2397,7191

Greatest Common Factor

We found the factors 120,7191 . The biggest common factor number is the GCF number.
So the greatest common factor 120,7191 is 3.


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 78/120, 3372/7191

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 78/120, 3372/7191?

Answer: LCM of Numerators as per given numbers 78/120, 3372/7191 is

LCM of Numerators i.e. for 78,3372 is 43836

GCF of denominators i.e. for 120,7191 is 3.

Thus, LCM of Fractions is 14612.Finally, LCM of Fractions for 78/120, 3372/7191 is 14612.