Least Common Multiple of 52/575, 6844/7325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/575, 6844/7325 quickly i.e. 88972/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/575, 6844/7325 is 88972/25.

LCM(52/575, 6844/7325) = 88972/25

LCM of 52/575, 6844/7325

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 52/575,6844/7325

Given numbers are 52/575,6844/7325

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 52,6844

Least Common Multiple of Numerators i.e. LCM of 52,6844 is 88972.

GCF of Denominators means GCF of 575,7325 as per the given fractions.

GCF of 575,7325 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,6844

LCM of Fractions 52/575,6844/7325 is 88972/25

2 52, 6844
2 26, 3422
13, 1711

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1711 = 88972

Least Common Multiple of 52,6844 with GCF Formula

Least Common Multiple of 52,6844 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 52,6844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,6844) = 4

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

GCF(52,6844) x common factors =4 x 1 = 4

LCM(52,6844) = ( 52 × 6844 ) / 4

LCM(52,6844) = 355888 / 4

LCM(52,6844) = 88972


Lets's calculate GCF of 575,7325

5 575, 7325
5 115, 1465
23, 293

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88972/25

Therefore the LCM of Fractions 52/575,6844/7325 is 88972/25

Greatest Common Factor of 575,7325 By Matching Biggest Common Factor Method

Greatest Common Factor of 575,7325 By Matching Biggest Common Factor Method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Factors of 7325

List of positive integer factors of 7325 that divides 7325 without a remainder.

1,5,25,293,1465,7325

Greatest Common Factor

We found the factors 575,7325 . The biggest common factor number is the GCF number.
So the greatest common factor 575,7325 is 25.


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 52/575, 6844/7325

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 52/575, 6844/7325?

Answer: LCM of Numerators as per given numbers 52/575, 6844/7325 is

LCM of Numerators i.e. for 52,6844 is 88972

GCF of denominators i.e. for 575,7325 is 25.

Thus, LCM of Fractions is 88972/25.Finally, LCM of Fractions for 52/575, 6844/7325 is 88972/25.