Least Common Multiple of 78/581, 52/381, 678/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/581, 52/381, 678/696 quickly i.e. 17628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/581, 52/381, 678/696 is 17628.

LCM(78/581, 52/381, 678/696) = 17628

LCM of 78/581, 52/381, 678/696

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 78/581,52/381,678/696

Given numbers are 78/581,52/381,678/696

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 78,52,678

Least Common Multiple of Numerators i.e. LCM of 78,52,678 is 17628.

GCF of Denominators means GCF of 581,381,696 as per the given fractions.

GCF of 581,381,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,52,678

LCM of Fractions 78/581,52/381,678/696 is 17628

2 78, 52, 678
3 39, 26, 339
13 13, 26, 113
1, 2, 113

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 2 x 113 = 17628

Least Common Multiple of 78,52,678 with GCF Formula

Least Common Multiple of 78,52,678 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 78,52,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,52,678) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(78,52,678) x common factors =2 x 78 = 156

LCM(78,52,678) = ( 78 × 52 × 678 ) / 156

LCM(78,52,678) = 2749968 / 156

LCM(78,52,678) = 17628


Lets's calculate GCF of 581,381,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17628/1

Therefore the LCM of Fractions 78/581,52/381,678/696 is 17628

Greatest Common Factor of 581,381,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,381,696 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 581,381,696 . The biggest common factor number is the GCF number.
So the greatest common factor 581,381,696 is 1.


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 78/581, 52/381, 678/696

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 78/581, 52/381, 678/696?

Answer: LCM of Numerators as per given numbers 78/581, 52/381, 678/696 is

LCM of Numerators i.e. for 78,52,678 is 17628

GCF of denominators i.e. for 581,381,696 is 1.

Thus, LCM of Fractions is 17628.Finally, LCM of Fractions for 78/581, 52/381, 678/696 is 17628.