Least Common Multiple of 857/64, 939/6856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 857/64, 939/6856 quickly i.e. 804723/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 857/64, 939/6856 is 804723/8.

LCM(857/64, 939/6856) = 804723/8

LCM of 857/64, 939/6856

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 857/64,939/6856

Given numbers are 857/64,939/6856

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 857,939

Least Common Multiple of Numerators i.e. LCM of 857,939 is 804723.

GCF of Denominators means GCF of 64,6856 as per the given fractions.

GCF of 64,6856 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 857,939

LCM of Fractions 857/64,939/6856 is 804723/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 804723

Least Common Multiple of 857,939 with GCF Formula

Least Common Multiple of 857,939 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 857,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,939) = 1

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

GCF(857,939) x common factors =1 x 1 = 1

LCM(857,939) = ( 857 × 939 ) / 1

LCM(857,939) = 804723 / 1

LCM(857,939) = 804723


Lets's calculate GCF of 64,6856

2 64, 6856
2 32, 3428
2 16, 1714
8, 857

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804723/8

Therefore the LCM of Fractions 857/64,939/6856 is 804723/8

Greatest Common Factor of 64,6856 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,6856 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 6856

List of positive integer factors of 6856 that divides 6856 without a remainder.

1,2,4,8,857,1714,3428,6856

Greatest Common Factor

We found the factors 64,6856 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6856 is 8.


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 857/64, 939/6856

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 857/64, 939/6856?

Answer: LCM of Numerators as per given numbers 857/64, 939/6856 is

LCM of Numerators i.e. for 857,939 is 804723

GCF of denominators i.e. for 64,6856 is 8.

Thus, LCM of Fractions is 804723/8.Finally, LCM of Fractions for 857/64, 939/6856 is 804723/8.