Least Common Multiple of 780/264, 779/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 780/264, 779/696 quickly i.e. 607620/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 780/264, 779/696 is 607620/24.

LCM(780/264, 779/696) = 607620/24

LCM of 780/264, 779/696

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 780/264,779/696

Given numbers are 780/264,779/696

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 780,779

Least Common Multiple of Numerators i.e. LCM of 780,779 is 607620.

GCF of Denominators means GCF of 264,696 as per the given fractions.

GCF of 264,696 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 780,779

LCM of Fractions 780/264,779/696 is 607620/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 607620

Least Common Multiple of 780,779 with GCF Formula

Least Common Multiple of 780,779 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 780,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,779) = 1

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

GCF(780,779) x common factors =1 x 1 = 1

LCM(780,779) = ( 780 × 779 ) / 1

LCM(780,779) = 607620 / 1

LCM(780,779) = 607620


Lets's calculate GCF of 264,696

2 264, 696
2 132, 348
2 66, 174
3 33, 87
11, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 607620/24

Therefore the LCM of Fractions 780/264,779/696 is 607620/24

Greatest Common Factor of 264,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 264,696 By Matching Biggest Common Factor Method

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 264,696 . The biggest common factor number is the GCF number.
So the greatest common factor 264,696 is 24.


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 780/264, 779/696

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 780/264, 779/696?

Answer: LCM of Numerators as per given numbers 780/264, 779/696 is

LCM of Numerators i.e. for 780,779 is 607620

GCF of denominators i.e. for 264,696 is 24.

Thus, LCM of Fractions is 607620/24.Finally, LCM of Fractions for 780/264, 779/696 is 607620/24.