Least Common Multiple of 975/51, 831/7578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 975/51, 831/7578 quickly i.e. 90025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 975/51, 831/7578 is 90025.

LCM(975/51, 831/7578) = 90025

LCM of 975/51, 831/7578

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 975/51,831/7578

Given numbers are 975/51,831/7578

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 975,831

Least Common Multiple of Numerators i.e. LCM of 975,831 is 270075.

GCF of Denominators means GCF of 51,7578 as per the given fractions.

GCF of 51,7578 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 975,831

LCM of Fractions 975/51,831/7578 is 90025

3 975, 831
325, 277

∴ So the LCM of the given numbers is 3 x 325 x 277 = 270075

Least Common Multiple of 975,831 with GCF Formula

Least Common Multiple of 975,831 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 975,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(975,831) = 3

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

GCF(975,831) x common factors =3 x 1 = 3

LCM(975,831) = ( 975 × 831 ) / 3

LCM(975,831) = 810225 / 3

LCM(975,831) = 270075


Lets's calculate GCF of 51,7578

3 51, 7578
17, 2526

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270075/3

Therefore the LCM of Fractions 975/51,831/7578 is 90025

Greatest Common Factor of 51,7578 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,7578 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 7578

List of positive integer factors of 7578 that divides 7578 without a remainder.

1,2,3,6,9,18,421,842,1263,2526,3789,7578

Greatest Common Factor

We found the factors 51,7578 . The biggest common factor number is the GCF number.
So the greatest common factor 51,7578 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 975/51, 831/7578

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 975/51, 831/7578?

Answer: LCM of Numerators as per given numbers 975/51, 831/7578 is

LCM of Numerators i.e. for 975,831 is 270075

GCF of denominators i.e. for 51,7578 is 3.

Thus, LCM of Fractions is 90025.Finally, LCM of Fractions for 975/51, 831/7578 is 90025.