Least Common Multiple of 528/516, 7759/7788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/516, 7759/7788 quickly i.e. 341396 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/516, 7759/7788 is 341396.

LCM(528/516, 7759/7788) = 341396

LCM of 528/516, 7759/7788

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 528/516,7759/7788

Given numbers are 528/516,7759/7788

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 528,7759

Least Common Multiple of Numerators i.e. LCM of 528,7759 is 4096752.

GCF of Denominators means GCF of 516,7788 as per the given fractions.

GCF of 516,7788 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,7759

LCM of Fractions 528/516,7759/7788 is 341396

Given numbers has no common factors except 1. So, there LCM is their product i.e 4096752

Least Common Multiple of 528,7759 with GCF Formula

Least Common Multiple of 528,7759 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 528,7759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,7759) = 1

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

GCF(528,7759) x common factors =1 x 1 = 1

LCM(528,7759) = ( 528 × 7759 ) / 1

LCM(528,7759) = 4096752 / 1

LCM(528,7759) = 4096752


Lets's calculate GCF of 516,7788

2 516, 7788
2 258, 3894
3 129, 1947
43, 649

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4096752/12

Therefore the LCM of Fractions 528/516,7759/7788 is 341396

Greatest Common Factor of 516,7788 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,7788 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 7788

List of positive integer factors of 7788 that divides 7788 without a remainder.

1,2,3,4,6,11,12,22,33,44,59,66,118,132,177,236,354,649,708,1298,1947,2596,3894,7788

Greatest Common Factor

We found the factors 516,7788 . The biggest common factor number is the GCF number.
So the greatest common factor 516,7788 is 12.


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 528/516, 7759/7788

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 528/516, 7759/7788?

Answer: LCM of Numerators as per given numbers 528/516, 7759/7788 is

LCM of Numerators i.e. for 528,7759 is 4096752

GCF of denominators i.e. for 516,7788 is 12.

Thus, LCM of Fractions is 341396.Finally, LCM of Fractions for 528/516, 7759/7788 is 341396.