Least Common Multiple of 57/78, 16/920, 655/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/78, 16/920, 655/696 quickly i.e. 298680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/78, 16/920, 655/696 is 298680.

LCM(57/78, 16/920, 655/696) = 298680

LCM of 57/78, 16/920, 655/696

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 57/78,16/920,655/696

Given numbers are 57/78,16/920,655/696

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 57,16,655

Least Common Multiple of Numerators i.e. LCM of 57,16,655 is 597360.

GCF of Denominators means GCF of 78,920,696 as per the given fractions.

GCF of 78,920,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,16,655

LCM of Fractions 57/78,16/920,655/696 is 298680

Given numbers has no common factors except 1. So, there LCM is their product i.e 597360

Least Common Multiple of 57,16,655 with GCF Formula

Least Common Multiple of 57,16,655 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 57,16,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,16,655) = 1

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

GCF(57,16,655) x common factors =1 x 1 = 1

LCM(57,16,655) = ( 57 × 16 × 655 ) / 1

LCM(57,16,655) = 597360 / 1

LCM(57,16,655) = 597360


Lets's calculate GCF of 78,920,696

2 78, 920, 696
39, 460, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 597360/2

Therefore the LCM of Fractions 57/78,16/920,655/696 is 298680

Greatest Common Factor of 78,920,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,920,696 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

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 78,920,696 . The biggest common factor number is the GCF number.
So the greatest common factor 78,920,696 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 57/78, 16/920, 655/696

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 57/78, 16/920, 655/696?

Answer: LCM of Numerators as per given numbers 57/78, 16/920, 655/696 is

LCM of Numerators i.e. for 57,16,655 is 597360

GCF of denominators i.e. for 78,920,696 is 2.

Thus, LCM of Fractions is 298680.Finally, LCM of Fractions for 57/78, 16/920, 655/696 is 298680.