Least Common Multiple of 792/854, 5838/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 792/854, 5838/656 quickly i.e. 385308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 792/854, 5838/656 is 385308.

LCM(792/854, 5838/656) = 385308

LCM of 792/854, 5838/656

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 792/854,5838/656

Given numbers are 792/854,5838/656

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 792,5838

Least Common Multiple of Numerators i.e. LCM of 792,5838 is 770616.

GCF of Denominators means GCF of 854,656 as per the given fractions.

GCF of 854,656 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 792,5838

LCM of Fractions 792/854,5838/656 is 385308

2 792, 5838
3 396, 2919
132, 973

∴ So the LCM of the given numbers is 2 x 3 x 132 x 973 = 770616

Least Common Multiple of 792,5838 with GCF Formula

Least Common Multiple of 792,5838 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 792,5838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(792,5838) = 6

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

GCF(792,5838) x common factors =6 x 1 = 6

LCM(792,5838) = ( 792 × 5838 ) / 6

LCM(792,5838) = 4623696 / 6

LCM(792,5838) = 770616


Lets's calculate GCF of 854,656

2 854, 656
427, 328

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 770616/2

Therefore the LCM of Fractions 792/854,5838/656 is 385308

Greatest Common Factor of 854,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,656 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 854,656 . The biggest common factor number is the GCF number.
So the greatest common factor 854,656 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 792/854, 5838/656

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 792/854, 5838/656?

Answer: LCM of Numerators as per given numbers 792/854, 5838/656 is

LCM of Numerators i.e. for 792,5838 is 770616

GCF of denominators i.e. for 854,656 is 2.

Thus, LCM of Fractions is 385308.Finally, LCM of Fractions for 792/854, 5838/656 is 385308.