Least Common Multiple of 507/992, 5652/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 507/992, 5652/125 quickly i.e. 955188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/992, 5652/125 is 955188.

LCM(507/992, 5652/125) = 955188

LCM of 507/992, 5652/125

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 507/992,5652/125

Given numbers are 507/992,5652/125

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 507,5652

Least Common Multiple of Numerators i.e. LCM of 507,5652 is 955188.

GCF of Denominators means GCF of 992,125 as per the given fractions.

GCF of 992,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,5652

LCM of Fractions 507/992,5652/125 is 955188

3 507, 5652
169, 1884

∴ So the LCM of the given numbers is 3 x 169 x 1884 = 955188

Least Common Multiple of 507,5652 with GCF Formula

Least Common Multiple of 507,5652 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 507,5652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,5652) = 3

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

GCF(507,5652) x common factors =3 x 1 = 3

LCM(507,5652) = ( 507 × 5652 ) / 3

LCM(507,5652) = 2865564 / 3

LCM(507,5652) = 955188


Lets's calculate GCF of 992,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 955188/1

Therefore the LCM of Fractions 507/992,5652/125 is 955188

Greatest Common Factor of 992,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,125 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 992,125 . The biggest common factor number is the GCF number.
So the greatest common factor 992,125 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 507/992, 5652/125

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 507/992, 5652/125?

Answer: LCM of Numerators as per given numbers 507/992, 5652/125 is

LCM of Numerators i.e. for 507,5652 is 955188

GCF of denominators i.e. for 992,125 is 1.

Thus, LCM of Fractions is 955188.Finally, LCM of Fractions for 507/992, 5652/125 is 955188.