Least Common Multiple of 7259/225, 7736/3631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7259/225, 7736/3631 quickly i.e. 56155624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7259/225, 7736/3631 is 56155624.

LCM(7259/225, 7736/3631) = 56155624

LCM of 7259/225, 7736/3631

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 7259/225,7736/3631

Given numbers are 7259/225,7736/3631

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 7259,7736

Least Common Multiple of Numerators i.e. LCM of 7259,7736 is 56155624.

GCF of Denominators means GCF of 225,3631 as per the given fractions.

GCF of 225,3631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7259,7736

LCM of Fractions 7259/225,7736/3631 is 56155624

Given numbers has no common factors except 1. So, there LCM is their product i.e 56155624

Least Common Multiple of 7259,7736 with GCF Formula

Least Common Multiple of 7259,7736 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 7259,7736 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7259,7736) = 1

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

GCF(7259,7736) x common factors =1 x 1 = 1

LCM(7259,7736) = ( 7259 × 7736 ) / 1

LCM(7259,7736) = 56155624 / 1

LCM(7259,7736) = 56155624


Lets's calculate GCF of 225,3631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56155624/1

Therefore the LCM of Fractions 7259/225,7736/3631 is 56155624

Greatest Common Factor of 225,3631 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,3631 By Matching Biggest Common Factor Method

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

Factors of 3631

List of positive integer factors of 3631 that divides 3631 without a remainder.

1,3631

Greatest Common Factor

We found the factors 225,3631 . The biggest common factor number is the GCF number.
So the greatest common factor 225,3631 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7259/225, 7736/3631

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 7259/225, 7736/3631?

Answer: LCM of Numerators as per given numbers 7259/225, 7736/3631 is

LCM of Numerators i.e. for 7259,7736 is 56155624

GCF of denominators i.e. for 225,3631 is 1.

Thus, LCM of Fractions is 56155624.Finally, LCM of Fractions for 7259/225, 7736/3631 is 56155624.