Least Common Multiple of 44/907, 42/759, 393/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/907, 42/759, 393/741 quickly i.e. 121044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/907, 42/759, 393/741 is 121044.

LCM(44/907, 42/759, 393/741) = 121044

LCM of 44/907, 42/759, 393/741

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 44/907,42/759,393/741

Given numbers are 44/907,42/759,393/741

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 44,42,393

Least Common Multiple of Numerators i.e. LCM of 44,42,393 is 121044.

GCF of Denominators means GCF of 907,759,741 as per the given fractions.

GCF of 907,759,741 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,42,393

LCM of Fractions 44/907,42/759,393/741 is 121044

2 44, 42, 393
3 22, 21, 393
22, 7, 131

∴ So the LCM of the given numbers is 2 x 3 x 22 x 7 x 131 = 121044

Least Common Multiple of 44,42,393 with GCF Formula

Least Common Multiple of 44,42,393 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 44,42,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,42,393) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(44,42,393) x common factors =1 x 6 = 6

LCM(44,42,393) = ( 44 × 42 × 393 ) / 6

LCM(44,42,393) = 726264 / 6

LCM(44,42,393) = 121044


Lets's calculate GCF of 907,759,741

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 121044/1

Therefore the LCM of Fractions 44/907,42/759,393/741 is 121044

Greatest Common Factor of 907,759,741 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,759,741 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Greatest Common Factor

We found the factors 907,759,741 . The biggest common factor number is the GCF number.
So the greatest common factor 907,759,741 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 44/907, 42/759, 393/741

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 44/907, 42/759, 393/741?

Answer: LCM of Numerators as per given numbers 44/907, 42/759, 393/741 is

LCM of Numerators i.e. for 44,42,393 is 121044

GCF of denominators i.e. for 907,759,741 is 1.

Thus, LCM of Fractions is 121044.Finally, LCM of Fractions for 44/907, 42/759, 393/741 is 121044.