Least Common Multiple of 758/225, 5446/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 758/225, 5446/863 quickly i.e. 2064034 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 758/225, 5446/863 is 2064034.

LCM(758/225, 5446/863) = 2064034

LCM of 758/225, 5446/863

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 758/225,5446/863

Given numbers are 758/225,5446/863

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 758,5446

Least Common Multiple of Numerators i.e. LCM of 758,5446 is 2064034.

GCF of Denominators means GCF of 225,863 as per the given fractions.

GCF of 225,863 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 758,5446

LCM of Fractions 758/225,5446/863 is 2064034

2 758, 5446
379, 2723

∴ So the LCM of the given numbers is 2 x 379 x 2723 = 2064034

Least Common Multiple of 758,5446 with GCF Formula

Least Common Multiple of 758,5446 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 758,5446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(758,5446) = 2

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

GCF(758,5446) x common factors =2 x 1 = 2

LCM(758,5446) = ( 758 × 5446 ) / 2

LCM(758,5446) = 4128068 / 2

LCM(758,5446) = 2064034


Lets's calculate GCF of 225,863

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2064034/1

Therefore the LCM of Fractions 758/225,5446/863 is 2064034

Greatest Common Factor of 225,863 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,863 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 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors 225,863 . The biggest common factor number is the GCF number.
So the greatest common factor 225,863 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 758/225, 5446/863

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 758/225, 5446/863?

Answer: LCM of Numerators as per given numbers 758/225, 5446/863 is

LCM of Numerators i.e. for 758,5446 is 2064034

GCF of denominators i.e. for 225,863 is 1.

Thus, LCM of Fractions is 2064034.Finally, LCM of Fractions for 758/225, 5446/863 is 2064034.