Least Common Multiple of 735/52, 714/7496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 735/52, 714/7496 quickly i.e. 24990/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 735/52, 714/7496 is 24990/4.

LCM(735/52, 714/7496) = 24990/4

LCM of 735/52, 714/7496

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 735/52,714/7496

Given numbers are 735/52,714/7496

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 735,714

Least Common Multiple of Numerators i.e. LCM of 735,714 is 24990.

GCF of Denominators means GCF of 52,7496 as per the given fractions.

GCF of 52,7496 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 735,714

LCM of Fractions 735/52,714/7496 is 24990/4

3 735, 714
7 245, 238
35, 34

∴ So the LCM of the given numbers is 3 x 7 x 35 x 34 = 24990

Least Common Multiple of 735,714 with GCF Formula

Least Common Multiple of 735,714 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 735,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(735,714) = 21

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

GCF(735,714) x common factors =21 x 1 = 21

LCM(735,714) = ( 735 × 714 ) / 21

LCM(735,714) = 524790 / 21

LCM(735,714) = 24990


Lets's calculate GCF of 52,7496

2 52, 7496
2 26, 3748
13, 1874

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24990/4

Therefore the LCM of Fractions 735/52,714/7496 is 24990/4

Greatest Common Factor of 52,7496 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,7496 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 7496

List of positive integer factors of 7496 that divides 7496 without a remainder.

1,2,4,8,937,1874,3748,7496

Greatest Common Factor

We found the factors 52,7496 . The biggest common factor number is the GCF number.
So the greatest common factor 52,7496 is 4.


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 735/52, 714/7496

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 735/52, 714/7496?

Answer: LCM of Numerators as per given numbers 735/52, 714/7496 is

LCM of Numerators i.e. for 735,714 is 24990

GCF of denominators i.e. for 52,7496 is 4.

Thus, LCM of Fractions is 24990/4.Finally, LCM of Fractions for 735/52, 714/7496 is 24990/4.