Least Common Multiple of 225/921, 2401/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 225/921, 2401/114 quickly i.e. 180075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 225/921, 2401/114 is 180075.

LCM(225/921, 2401/114) = 180075

LCM of 225/921, 2401/114

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 225/921,2401/114

Given numbers are 225/921,2401/114

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 225,2401

Least Common Multiple of Numerators i.e. LCM of 225,2401 is 540225.

GCF of Denominators means GCF of 921,114 as per the given fractions.

GCF of 921,114 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 225,2401

LCM of Fractions 225/921,2401/114 is 180075

Given numbers has no common factors except 1. So, there LCM is their product i.e 540225

Least Common Multiple of 225,2401 with GCF Formula

Least Common Multiple of 225,2401 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 225,2401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(225,2401) = 1

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

GCF(225,2401) x common factors =1 x 1 = 1

LCM(225,2401) = ( 225 × 2401 ) / 1

LCM(225,2401) = 540225 / 1

LCM(225,2401) = 540225


Lets's calculate GCF of 921,114

3 921, 114
307, 38

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540225/3

Therefore the LCM of Fractions 225/921,2401/114 is 180075

Greatest Common Factor of 921,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,114 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 921,114 . The biggest common factor number is the GCF number.
So the greatest common factor 921,114 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 225/921, 2401/114

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 225/921, 2401/114?

Answer: LCM of Numerators as per given numbers 225/921, 2401/114 is

LCM of Numerators i.e. for 225,2401 is 540225

GCF of denominators i.e. for 921,114 is 3.

Thus, LCM of Fractions is 180075.Finally, LCM of Fractions for 225/921, 2401/114 is 180075.