Least Common Multiple of 711/78, 965/46, 906/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/78, 965/46, 906/857 quickly i.e. 207206730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/78, 965/46, 906/857 is 207206730.

LCM(711/78, 965/46, 906/857) = 207206730

LCM of 711/78, 965/46, 906/857

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 711/78,965/46,906/857

Given numbers are 711/78,965/46,906/857

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 711,965,906

Least Common Multiple of Numerators i.e. LCM of 711,965,906 is 207206730.

GCF of Denominators means GCF of 78,46,857 as per the given fractions.

GCF of 78,46,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,965,906

LCM of Fractions 711/78,965/46,906/857 is 207206730

3 711, 965, 906
237, 965, 302

∴ So the LCM of the given numbers is 3 x 237 x 965 x 302 = 207206730

Least Common Multiple of 711,965,906 with GCF Formula

Least Common Multiple of 711,965,906 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 711,965,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,965,906) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(711,965,906) x common factors =1 x 3 = 3

LCM(711,965,906) = ( 711 × 965 × 906 ) / 3

LCM(711,965,906) = 621620190 / 3

LCM(711,965,906) = 207206730


Lets's calculate GCF of 78,46,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207206730/1

Therefore the LCM of Fractions 711/78,965/46,906/857 is 207206730

Greatest Common Factor of 78,46,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,46,857 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 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 78,46,857 . The biggest common factor number is the GCF number.
So the greatest common factor 78,46,857 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 711/78, 965/46, 906/857

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 711/78, 965/46, 906/857?

Answer: LCM of Numerators as per given numbers 711/78, 965/46, 906/857 is

LCM of Numerators i.e. for 711,965,906 is 207206730

GCF of denominators i.e. for 78,46,857 is 1.

Thus, LCM of Fractions is 207206730.Finally, LCM of Fractions for 711/78, 965/46, 906/857 is 207206730.