Least Common Multiple of 992/525, 661/489, 939/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 992/525, 661/489, 939/225 quickly i.e. 205237856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 992/525, 661/489, 939/225 is 205237856.

LCM(992/525, 661/489, 939/225) = 205237856

LCM of 992/525, 661/489, 939/225

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 992/525,661/489,939/225

Given numbers are 992/525,661/489,939/225

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 992,661,939

Least Common Multiple of Numerators i.e. LCM of 992,661,939 is 615713568.

GCF of Denominators means GCF of 525,489,225 as per the given fractions.

GCF of 525,489,225 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 992,661,939

LCM of Fractions 992/525,661/489,939/225 is 205237856

Given numbers has no common factors except 1. So, there LCM is their product i.e 615713568

Least Common Multiple of 992,661,939 with GCF Formula

Least Common Multiple of 992,661,939 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 992,661,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,661,939) = 1

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

GCF(992,661,939) x common factors =1 x 1 = 1

LCM(992,661,939) = ( 992 × 661 × 939 ) / 1

LCM(992,661,939) = 615713568 / 1

LCM(992,661,939) = 615713568


Lets's calculate GCF of 525,489,225

3 525, 489, 225
175, 163, 75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615713568/3

Therefore the LCM of Fractions 992/525,661/489,939/225 is 205237856

Greatest Common Factor of 525,489,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 525,489,225 By Matching Biggest Common Factor Method

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

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 525,489,225 . The biggest common factor number is the GCF number.
So the greatest common factor 525,489,225 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 992/525, 661/489, 939/225

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 992/525, 661/489, 939/225?

Answer: LCM of Numerators as per given numbers 992/525, 661/489, 939/225 is

LCM of Numerators i.e. for 992,661,939 is 615713568

GCF of denominators i.e. for 525,489,225 is 3.

Thus, LCM of Fractions is 205237856.Finally, LCM of Fractions for 992/525, 661/489, 939/225 is 205237856.