Least Common Multiple of 44/917, 371/386, 743/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/917, 371/386, 743/825 quickly i.e. 12128732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/917, 371/386, 743/825 is 12128732.

LCM(44/917, 371/386, 743/825) = 12128732

LCM of 44/917, 371/386, 743/825

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 44/917,371/386,743/825

Given numbers are 44/917,371/386,743/825

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 44,371,743

Least Common Multiple of Numerators i.e. LCM of 44,371,743 is 12128732.

GCF of Denominators means GCF of 917,386,825 as per the given fractions.

GCF of 917,386,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,371,743

LCM of Fractions 44/917,371/386,743/825 is 12128732

Given numbers has no common factors except 1. So, there LCM is their product i.e 12128732

Least Common Multiple of 44,371,743 with GCF Formula

Least Common Multiple of 44,371,743 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 44,371,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,371,743) = 1

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

GCF(44,371,743) x common factors =1 x 1 = 1

LCM(44,371,743) = ( 44 × 371 × 743 ) / 1

LCM(44,371,743) = 12128732 / 1

LCM(44,371,743) = 12128732


Lets's calculate GCF of 917,386,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12128732/1

Therefore the LCM of Fractions 44/917,371/386,743/825 is 12128732

Greatest Common Factor of 917,386,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,386,825 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 917,386,825 . The biggest common factor number is the GCF number.
So the greatest common factor 917,386,825 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 44/917, 371/386, 743/825

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 44/917, 371/386, 743/825?

Answer: LCM of Numerators as per given numbers 44/917, 371/386, 743/825 is

LCM of Numerators i.e. for 44,371,743 is 12128732

GCF of denominators i.e. for 917,386,825 is 1.

Thus, LCM of Fractions is 12128732.Finally, LCM of Fractions for 44/917, 371/386, 743/825 is 12128732.