Least Common Multiple of 506/688, 797/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/688, 797/769 quickly i.e. 403282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/688, 797/769 is 403282.

LCM(506/688, 797/769) = 403282

LCM of 506/688, 797/769

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 506/688,797/769

Given numbers are 506/688,797/769

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 506,797

Least Common Multiple of Numerators i.e. LCM of 506,797 is 403282.

GCF of Denominators means GCF of 688,769 as per the given fractions.

GCF of 688,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,797

LCM of Fractions 506/688,797/769 is 403282

Given numbers has no common factors except 1. So, there LCM is their product i.e 403282

Least Common Multiple of 506,797 with GCF Formula

Least Common Multiple of 506,797 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 506,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,797) = 1

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

GCF(506,797) x common factors =1 x 1 = 1

LCM(506,797) = ( 506 × 797 ) / 1

LCM(506,797) = 403282 / 1

LCM(506,797) = 403282


Lets's calculate GCF of 688,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403282/1

Therefore the LCM of Fractions 506/688,797/769 is 403282

Greatest Common Factor of 688,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 688,769 By Matching Biggest Common Factor Method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 688,769 . The biggest common factor number is the GCF number.
So the greatest common factor 688,769 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 506/688, 797/769

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 506/688, 797/769?

Answer: LCM of Numerators as per given numbers 506/688, 797/769 is

LCM of Numerators i.e. for 506,797 is 403282

GCF of denominators i.e. for 688,769 is 1.

Thus, LCM of Fractions is 403282.Finally, LCM of Fractions for 506/688, 797/769 is 403282.