Least Common Multiple of 13/94, 89/99, 225/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/94, 89/99, 225/171 quickly i.e. 260325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/94, 89/99, 225/171 is 260325.

LCM(13/94, 89/99, 225/171) = 260325

LCM of 13/94, 89/99, 225/171

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 13/94,89/99,225/171

Given numbers are 13/94,89/99,225/171

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 13,89,225

Least Common Multiple of Numerators i.e. LCM of 13,89,225 is 260325.

GCF of Denominators means GCF of 94,99,171 as per the given fractions.

GCF of 94,99,171 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,89,225

LCM of Fractions 13/94,89/99,225/171 is 260325

Given numbers has no common factors except 1. So, there LCM is their product i.e 260325

Least Common Multiple of 13,89,225 with GCF Formula

Least Common Multiple of 13,89,225 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 13,89,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,89,225) = 1

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

GCF(13,89,225) x common factors =1 x 1 = 1

LCM(13,89,225) = ( 13 × 89 × 225 ) / 1

LCM(13,89,225) = 260325 / 1

LCM(13,89,225) = 260325


Lets's calculate GCF of 94,99,171

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 260325/1

Therefore the LCM of Fractions 13/94,89/99,225/171 is 260325

Greatest Common Factor of 94,99,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,99,171 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 94,99,171 . The biggest common factor number is the GCF number.
So the greatest common factor 94,99,171 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 13/94, 89/99, 225/171

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 13/94, 89/99, 225/171?

Answer: LCM of Numerators as per given numbers 13/94, 89/99, 225/171 is

LCM of Numerators i.e. for 13,89,225 is 260325

GCF of denominators i.e. for 94,99,171 is 1.

Thus, LCM of Fractions is 260325.Finally, LCM of Fractions for 13/94, 89/99, 225/171 is 260325.