Least Common Multiple of 5775/976, 9369/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5775/976, 9369/225 quickly i.e. 18035325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5775/976, 9369/225 is 18035325.

LCM(5775/976, 9369/225) = 18035325

LCM of 5775/976, 9369/225

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 5775/976,9369/225

Given numbers are 5775/976,9369/225

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 5775,9369

Least Common Multiple of Numerators i.e. LCM of 5775,9369 is 18035325.

GCF of Denominators means GCF of 976,225 as per the given fractions.

GCF of 976,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5775,9369

LCM of Fractions 5775/976,9369/225 is 18035325

3 5775, 9369
1925, 3123

∴ So the LCM of the given numbers is 3 x 1925 x 3123 = 18035325

Least Common Multiple of 5775,9369 with GCF Formula

Least Common Multiple of 5775,9369 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 5775,9369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5775,9369) = 3

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

GCF(5775,9369) x common factors =3 x 1 = 3

LCM(5775,9369) = ( 5775 × 9369 ) / 3

LCM(5775,9369) = 54105975 / 3

LCM(5775,9369) = 18035325


Lets's calculate GCF of 976,225

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18035325/1

Therefore the LCM of Fractions 5775/976,9369/225 is 18035325

Greatest Common Factor of 976,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,225 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 976,225 . The biggest common factor number is the GCF number.
So the greatest common factor 976,225 is 1.


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 5775/976, 9369/225

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 5775/976, 9369/225?

Answer: LCM of Numerators as per given numbers 5775/976, 9369/225 is

LCM of Numerators i.e. for 5775,9369 is 18035325

GCF of denominators i.e. for 976,225 is 1.

Thus, LCM of Fractions is 18035325.Finally, LCM of Fractions for 5775/976, 9369/225 is 18035325.