Least Common Multiple of 132/186, 2523/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 132/186, 2523/775 quickly i.e. 111012/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 132/186, 2523/775 is 111012/31.

LCM(132/186, 2523/775) = 111012/31

LCM of 132/186, 2523/775

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 132/186,2523/775

Given numbers are 132/186,2523/775

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 132,2523

Least Common Multiple of Numerators i.e. LCM of 132,2523 is 111012.

GCF of Denominators means GCF of 186,775 as per the given fractions.

GCF of 186,775 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 132,2523

LCM of Fractions 132/186,2523/775 is 111012/31

3 132, 2523
44, 841

∴ So the LCM of the given numbers is 3 x 44 x 841 = 111012

Least Common Multiple of 132,2523 with GCF Formula

Least Common Multiple of 132,2523 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 132,2523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,2523) = 3

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

GCF(132,2523) x common factors =3 x 1 = 3

LCM(132,2523) = ( 132 × 2523 ) / 3

LCM(132,2523) = 333036 / 3

LCM(132,2523) = 111012


Lets's calculate GCF of 186,775

31 186, 775
6, 25

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111012/31

Therefore the LCM of Fractions 132/186,2523/775 is 111012/31

Greatest Common Factor of 186,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,775 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 186,775 . The biggest common factor number is the GCF number.
So the greatest common factor 186,775 is 31.


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 132/186, 2523/775

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 132/186, 2523/775?

Answer: LCM of Numerators as per given numbers 132/186, 2523/775 is

LCM of Numerators i.e. for 132,2523 is 111012

GCF of denominators i.e. for 186,775 is 31.

Thus, LCM of Fractions is 111012/31.Finally, LCM of Fractions for 132/186, 2523/775 is 111012/31.