Least Common Multiple of 44/159, 26/975, 535/934

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/159, 26/975, 535/934 quickly i.e. 306020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/159, 26/975, 535/934 is 306020.

LCM(44/159, 26/975, 535/934) = 306020

LCM of 44/159, 26/975, 535/934

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 44/159,26/975,535/934

Given numbers are 44/159,26/975,535/934

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 44,26,535

Least Common Multiple of Numerators i.e. LCM of 44,26,535 is 306020.

GCF of Denominators means GCF of 159,975,934 as per the given fractions.

GCF of 159,975,934 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,26,535

LCM of Fractions 44/159,26/975,535/934 is 306020

2 44, 26, 535
22, 13, 535

∴ So the LCM of the given numbers is 2 x 22 x 13 x 535 = 306020

Least Common Multiple of 44,26,535 with GCF Formula

Least Common Multiple of 44,26,535 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 44,26,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,26,535) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(44,26,535) x common factors =1 x 2 = 2

LCM(44,26,535) = ( 44 × 26 × 535 ) / 2

LCM(44,26,535) = 612040 / 2

LCM(44,26,535) = 306020


Lets's calculate GCF of 159,975,934

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306020/1

Therefore the LCM of Fractions 44/159,26/975,535/934 is 306020

Greatest Common Factor of 159,975,934 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,975,934 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 934

List of positive integer factors of 934 that divides 934 without a remainder.

1,2,467,934

Greatest Common Factor

We found the factors 159,975,934 . The biggest common factor number is the GCF number.
So the greatest common factor 159,975,934 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/159, 26/975, 535/934

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 44/159, 26/975, 535/934?

Answer: LCM of Numerators as per given numbers 44/159, 26/975, 535/934 is

LCM of Numerators i.e. for 44,26,535 is 306020

GCF of denominators i.e. for 159,975,934 is 1.

Thus, LCM of Fractions is 306020.Finally, LCM of Fractions for 44/159, 26/975, 535/934 is 306020.