Least Common Multiple of 2254/497, 5312/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2254/497, 5312/225 quickly i.e. 5986624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2254/497, 5312/225 is 5986624.

LCM(2254/497, 5312/225) = 5986624

LCM of 2254/497, 5312/225

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 2254/497,5312/225

Given numbers are 2254/497,5312/225

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 2254,5312

Least Common Multiple of Numerators i.e. LCM of 2254,5312 is 5986624.

GCF of Denominators means GCF of 497,225 as per the given fractions.

GCF of 497,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2254,5312

LCM of Fractions 2254/497,5312/225 is 5986624

2 2254, 5312
1127, 2656

∴ So the LCM of the given numbers is 2 x 1127 x 2656 = 5986624

Least Common Multiple of 2254,5312 with GCF Formula

Least Common Multiple of 2254,5312 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 2254,5312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2254,5312) = 2

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

GCF(2254,5312) x common factors =2 x 1 = 2

LCM(2254,5312) = ( 2254 × 5312 ) / 2

LCM(2254,5312) = 11973248 / 2

LCM(2254,5312) = 5986624


Lets's calculate GCF of 497,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5986624/1

Therefore the LCM of Fractions 2254/497,5312/225 is 5986624

Greatest Common Factor of 497,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,225 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 497,225 . The biggest common factor number is the GCF number.
So the greatest common factor 497,225 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 2254/497, 5312/225

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 2254/497, 5312/225?

Answer: LCM of Numerators as per given numbers 2254/497, 5312/225 is

LCM of Numerators i.e. for 2254,5312 is 5986624

GCF of denominators i.e. for 497,225 is 1.

Thus, LCM of Fractions is 5986624.Finally, LCM of Fractions for 2254/497, 5312/225 is 5986624.