Least Common Multiple of 78/968, 56/792, 168/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/968, 56/792, 168/255 quickly i.e. 2184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/968, 56/792, 168/255 is 2184.

LCM(78/968, 56/792, 168/255) = 2184

LCM of 78/968, 56/792, 168/255

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 78/968,56/792,168/255

Given numbers are 78/968,56/792,168/255

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 78,56,168

Least Common Multiple of Numerators i.e. LCM of 78,56,168 is 2184.

GCF of Denominators means GCF of 968,792,255 as per the given fractions.

GCF of 968,792,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,56,168

LCM of Fractions 78/968,56/792,168/255 is 2184

2 78, 56, 168
2 39, 28, 84
2 39, 14, 42
3 39, 7, 21
7 13, 7, 7
13, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 13 x 1 x 1 = 2184

Least Common Multiple of 78,56,168 with GCF Formula

Least Common Multiple of 78,56,168 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 78,56,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,56,168) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(78,56,168) x common factors =2 x 168 = 336

LCM(78,56,168) = ( 78 × 56 × 168 ) / 336

LCM(78,56,168) = 733824 / 336

LCM(78,56,168) = 2184


Lets's calculate GCF of 968,792,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2184/1

Therefore the LCM of Fractions 78/968,56/792,168/255 is 2184

Greatest Common Factor of 968,792,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,792,255 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 968,792,255 . The biggest common factor number is the GCF number.
So the greatest common factor 968,792,255 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 78/968, 56/792, 168/255

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 78/968, 56/792, 168/255?

Answer: LCM of Numerators as per given numbers 78/968, 56/792, 168/255 is

LCM of Numerators i.e. for 78,56,168 is 2184

GCF of denominators i.e. for 968,792,255 is 1.

Thus, LCM of Fractions is 2184.Finally, LCM of Fractions for 78/968, 56/792, 168/255 is 2184.