Least Common Multiple of 13/178, 31/463, 225/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/178, 31/463, 225/852 quickly i.e. 90675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/178, 31/463, 225/852 is 90675.

LCM(13/178, 31/463, 225/852) = 90675

LCM of 13/178, 31/463, 225/852

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 13/178,31/463,225/852

Given numbers are 13/178,31/463,225/852

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 13,31,225

Least Common Multiple of Numerators i.e. LCM of 13,31,225 is 90675.

GCF of Denominators means GCF of 178,463,852 as per the given fractions.

GCF of 178,463,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,31,225

LCM of Fractions 13/178,31/463,225/852 is 90675

Given numbers has no common factors except 1. So, there LCM is their product i.e 90675

Least Common Multiple of 13,31,225 with GCF Formula

Least Common Multiple of 13,31,225 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 13,31,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,31,225) = 1

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

GCF(13,31,225) x common factors =1 x 1 = 1

LCM(13,31,225) = ( 13 × 31 × 225 ) / 1

LCM(13,31,225) = 90675 / 1

LCM(13,31,225) = 90675


Lets's calculate GCF of 178,463,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90675/1

Therefore the LCM of Fractions 13/178,31/463,225/852 is 90675

Greatest Common Factor of 178,463,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,463,852 By Matching Biggest Common Factor Method

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 463

List of positive integer factors of 463 that divides 463 without a remainder.

1,463

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 178,463,852 . The biggest common factor number is the GCF number.
So the greatest common factor 178,463,852 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 13/178, 31/463, 225/852

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 13/178, 31/463, 225/852?

Answer: LCM of Numerators as per given numbers 13/178, 31/463, 225/852 is

LCM of Numerators i.e. for 13,31,225 is 90675

GCF of denominators i.e. for 178,463,852 is 1.

Thus, LCM of Fractions is 90675.Finally, LCM of Fractions for 13/178, 31/463, 225/852 is 90675.