Least Common Multiple of 51/718, 77/738, 511/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/718, 77/738, 511/945 quickly i.e. 286671 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/718, 77/738, 511/945 is 286671.

LCM(51/718, 77/738, 511/945) = 286671

LCM of 51/718, 77/738, 511/945

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 51/718,77/738,511/945

Given numbers are 51/718,77/738,511/945

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 51,77,511

Least Common Multiple of Numerators i.e. LCM of 51,77,511 is 286671.

GCF of Denominators means GCF of 718,738,945 as per the given fractions.

GCF of 718,738,945 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,77,511

LCM of Fractions 51/718,77/738,511/945 is 286671

7 51, 77, 511
51, 11, 73

∴ So the LCM of the given numbers is 7 x 51 x 11 x 73 = 286671

Least Common Multiple of 51,77,511 with GCF Formula

Least Common Multiple of 51,77,511 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 51,77,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,77,511) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(51,77,511) x common factors =1 x 7 = 7

LCM(51,77,511) = ( 51 × 77 × 511 ) / 7

LCM(51,77,511) = 2006697 / 7

LCM(51,77,511) = 286671


Lets's calculate GCF of 718,738,945

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286671/1

Therefore the LCM of Fractions 51/718,77/738,511/945 is 286671

Greatest Common Factor of 718,738,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 718,738,945 By Matching Biggest Common Factor Method

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 718,738,945 . The biggest common factor number is the GCF number.
So the greatest common factor 718,738,945 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 51/718, 77/738, 511/945

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 51/718, 77/738, 511/945?

Answer: LCM of Numerators as per given numbers 51/718, 77/738, 511/945 is

LCM of Numerators i.e. for 51,77,511 is 286671

GCF of denominators i.e. for 718,738,945 is 1.

Thus, LCM of Fractions is 286671.Finally, LCM of Fractions for 51/718, 77/738, 511/945 is 286671.