Least Common Multiple of 52/975, 551/690, 575/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/975, 551/690, 575/400 quickly i.e. 3294980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/975, 551/690, 575/400 is 3294980.

LCM(52/975, 551/690, 575/400) = 3294980

LCM of 52/975, 551/690, 575/400

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 52/975,551/690,575/400

Given numbers are 52/975,551/690,575/400

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 52,551,575

Least Common Multiple of Numerators i.e. LCM of 52,551,575 is 16474900.

GCF of Denominators means GCF of 975,690,400 as per the given fractions.

GCF of 975,690,400 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,551,575

LCM of Fractions 52/975,551/690,575/400 is 3294980

Given numbers has no common factors except 1. So, there LCM is their product i.e 16474900

Least Common Multiple of 52,551,575 with GCF Formula

Least Common Multiple of 52,551,575 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 52,551,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,551,575) = 1

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

GCF(52,551,575) x common factors =1 x 1 = 1

LCM(52,551,575) = ( 52 × 551 × 575 ) / 1

LCM(52,551,575) = 16474900 / 1

LCM(52,551,575) = 16474900


Lets's calculate GCF of 975,690,400

5 975, 690, 400
195, 138, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16474900/5

Therefore the LCM of Fractions 52/975,551/690,575/400 is 3294980

Greatest Common Factor of 975,690,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,690,400 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Greatest Common Factor

We found the factors 975,690,400 . The biggest common factor number is the GCF number.
So the greatest common factor 975,690,400 is 5.


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 52/975, 551/690, 575/400

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 52/975, 551/690, 575/400?

Answer: LCM of Numerators as per given numbers 52/975, 551/690, 575/400 is

LCM of Numerators i.e. for 52,551,575 is 16474900

GCF of denominators i.e. for 975,690,400 is 5.

Thus, LCM of Fractions is 3294980.Finally, LCM of Fractions for 52/975, 551/690, 575/400 is 3294980.