Least Common Multiple of 78/120, 42/878, 856/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/120, 42/878, 856/512 quickly i.e. 116844 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, 42/878, 856/512 is 116844.

LCM(78/120, 42/878, 856/512) = 116844

LCM of 78/120, 42/878, 856/512

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 78/120,42/878,856/512

Given numbers are 78/120,42/878,856/512

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 78,42,856

Least Common Multiple of Numerators i.e. LCM of 78,42,856 is 233688.

GCF of Denominators means GCF of 120,878,512 as per the given fractions.

GCF of 120,878,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,42,856

LCM of Fractions 78/120,42/878,856/512 is 116844

2 78, 42, 856
3 39, 21, 428
13, 7, 428

∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 428 = 233688

Least Common Multiple of 78,42,856 with GCF Formula

Least Common Multiple of 78,42,856 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 78,42,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,42,856) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,42,856) x common factors =2 x 6 = 12

LCM(78,42,856) = ( 78 × 42 × 856 ) / 12

LCM(78,42,856) = 2804256 / 12

LCM(78,42,856) = 233688


Lets's calculate GCF of 120,878,512

2 120, 878, 512
60, 439, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 233688/2

Therefore the LCM of Fractions 78/120,42/878,856/512 is 116844

Greatest Common Factor of 120,878,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,878,512 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 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 120,878,512 . The biggest common factor number is the GCF number.
So the greatest common factor 120,878,512 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 78/120, 42/878, 856/512

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, 42/878, 856/512?

Answer: LCM of Numerators as per given numbers 78/120, 42/878, 856/512 is

LCM of Numerators i.e. for 78,42,856 is 233688

GCF of denominators i.e. for 120,878,512 is 2.

Thus, LCM of Fractions is 116844.Finally, LCM of Fractions for 78/120, 42/878, 856/512 is 116844.