Least Common Multiple of 252/768, 7021/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/768, 7021/699 quickly i.e. 84252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/768, 7021/699 is 84252.

LCM(252/768, 7021/699) = 84252

LCM of 252/768, 7021/699

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 252/768,7021/699

Given numbers are 252/768,7021/699

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 252,7021

Least Common Multiple of Numerators i.e. LCM of 252,7021 is 252756.

GCF of Denominators means GCF of 768,699 as per the given fractions.

GCF of 768,699 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,7021

LCM of Fractions 252/768,7021/699 is 84252

7 252, 7021
36, 1003

∴ So the LCM of the given numbers is 7 x 36 x 1003 = 252756

Least Common Multiple of 252,7021 with GCF Formula

Least Common Multiple of 252,7021 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 252,7021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,7021) = 7

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

GCF(252,7021) x common factors =7 x 1 = 7

LCM(252,7021) = ( 252 × 7021 ) / 7

LCM(252,7021) = 1769292 / 7

LCM(252,7021) = 252756


Lets's calculate GCF of 768,699

3 768, 699
256, 233

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252756/3

Therefore the LCM of Fractions 252/768,7021/699 is 84252

Greatest Common Factor of 768,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,699 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 768,699 . The biggest common factor number is the GCF number.
So the greatest common factor 768,699 is 3.


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 252/768, 7021/699

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 252/768, 7021/699?

Answer: LCM of Numerators as per given numbers 252/768, 7021/699 is

LCM of Numerators i.e. for 252,7021 is 252756

GCF of denominators i.e. for 768,699 is 3.

Thus, LCM of Fractions is 84252.Finally, LCM of Fractions for 252/768, 7021/699 is 84252.