Least Common Multiple of 113/225, 7774/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 113/225, 7774/489 quickly i.e. 878462/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/225, 7774/489 is 878462/3.

LCM(113/225, 7774/489) = 878462/3

LCM of 113/225, 7774/489

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 113/225,7774/489

Given numbers are 113/225,7774/489

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 113,7774

Least Common Multiple of Numerators i.e. LCM of 113,7774 is 878462.

GCF of Denominators means GCF of 225,489 as per the given fractions.

GCF of 225,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,7774

LCM of Fractions 113/225,7774/489 is 878462/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 878462

Least Common Multiple of 113,7774 with GCF Formula

Least Common Multiple of 113,7774 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 113,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,7774) = 1

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

GCF(113,7774) x common factors =1 x 1 = 1

LCM(113,7774) = ( 113 × 7774 ) / 1

LCM(113,7774) = 878462 / 1

LCM(113,7774) = 878462


Lets's calculate GCF of 225,489

3 225, 489
75, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 878462/3

Therefore the LCM of Fractions 113/225,7774/489 is 878462/3

Greatest Common Factor of 225,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,489 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 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 225,489 . The biggest common factor number is the GCF number.
So the greatest common factor 225,489 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 113/225, 7774/489

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 113/225, 7774/489?

Answer: LCM of Numerators as per given numbers 113/225, 7774/489 is

LCM of Numerators i.e. for 113,7774 is 878462

GCF of denominators i.e. for 225,489 is 3.

Thus, LCM of Fractions is 878462/3.Finally, LCM of Fractions for 113/225, 7774/489 is 878462/3.