Least Common Multiple of 44/36, 159/78, 971/573

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/36, 159/78, 971/573 quickly i.e. 2264372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/36, 159/78, 971/573 is 2264372.

LCM(44/36, 159/78, 971/573) = 2264372

LCM of 44/36, 159/78, 971/573

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 44/36,159/78,971/573

Given numbers are 44/36,159/78,971/573

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 44,159,971

Least Common Multiple of Numerators i.e. LCM of 44,159,971 is 6793116.

GCF of Denominators means GCF of 36,78,573 as per the given fractions.

GCF of 36,78,573 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,159,971

LCM of Fractions 44/36,159/78,971/573 is 2264372

Given numbers has no common factors except 1. So, there LCM is their product i.e 6793116

Least Common Multiple of 44,159,971 with GCF Formula

Least Common Multiple of 44,159,971 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 44,159,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,159,971) = 1

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

GCF(44,159,971) x common factors =1 x 1 = 1

LCM(44,159,971) = ( 44 × 159 × 971 ) / 1

LCM(44,159,971) = 6793116 / 1

LCM(44,159,971) = 6793116


Lets's calculate GCF of 36,78,573

3 36, 78, 573
12, 26, 191

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6793116/3

Therefore the LCM of Fractions 44/36,159/78,971/573 is 2264372

Greatest Common Factor of 36,78,573 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,78,573 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors 36,78,573 . The biggest common factor number is the GCF number.
So the greatest common factor 36,78,573 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 44/36, 159/78, 971/573

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 44/36, 159/78, 971/573?

Answer: LCM of Numerators as per given numbers 44/36, 159/78, 971/573 is

LCM of Numerators i.e. for 44,159,971 is 6793116

GCF of denominators i.e. for 36,78,573 is 3.

Thus, LCM of Fractions is 2264372.Finally, LCM of Fractions for 44/36, 159/78, 971/573 is 2264372.