Least Common Multiple of 120/52, 7341/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 120/52, 7341/808 quickly i.e. 73410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 120/52, 7341/808 is 73410.

LCM(120/52, 7341/808) = 73410

LCM of 120/52, 7341/808

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 120/52,7341/808

Given numbers are 120/52,7341/808

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 120,7341

Least Common Multiple of Numerators i.e. LCM of 120,7341 is 293640.

GCF of Denominators means GCF of 52,808 as per the given fractions.

GCF of 52,808 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 120,7341

LCM of Fractions 120/52,7341/808 is 73410

3 120, 7341
40, 2447

∴ So the LCM of the given numbers is 3 x 40 x 2447 = 293640

Least Common Multiple of 120,7341 with GCF Formula

Least Common Multiple of 120,7341 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 120,7341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,7341) = 3

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

GCF(120,7341) x common factors =3 x 1 = 3

LCM(120,7341) = ( 120 × 7341 ) / 3

LCM(120,7341) = 880920 / 3

LCM(120,7341) = 293640


Lets's calculate GCF of 52,808

2 52, 808
2 26, 404
13, 202

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293640/4

Therefore the LCM of Fractions 120/52,7341/808 is 73410

Greatest Common Factor of 52,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,808 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 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 52,808 . The biggest common factor number is the GCF number.
So the greatest common factor 52,808 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 120/52, 7341/808

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 120/52, 7341/808?

Answer: LCM of Numerators as per given numbers 120/52, 7341/808 is

LCM of Numerators i.e. for 120,7341 is 293640

GCF of denominators i.e. for 52,808 is 4.

Thus, LCM of Fractions is 73410.Finally, LCM of Fractions for 120/52, 7341/808 is 73410.