Least Common Multiple of 44/90, 396/20, 726/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/90, 396/20, 726/595 quickly i.e. 4356/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/90, 396/20, 726/595 is 4356/5.

LCM(44/90, 396/20, 726/595) = 4356/5

LCM of 44/90, 396/20, 726/595

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 44/90,396/20,726/595

Given numbers are 44/90,396/20,726/595

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 44,396,726

Least Common Multiple of Numerators i.e. LCM of 44,396,726 is 4356.

GCF of Denominators means GCF of 90,20,595 as per the given fractions.

GCF of 90,20,595 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,396,726

LCM of Fractions 44/90,396/20,726/595 is 4356/5

2 44, 396, 726
2 22, 198, 363
3 11, 99, 363
11 11, 33, 121
1, 3, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 1 x 3 x 11 = 4356

Least Common Multiple of 44,396,726 with GCF Formula

Least Common Multiple of 44,396,726 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 44,396,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,396,726) = 22

common factors(in case of two or more numbers have common factors) = 132

GCF(44,396,726) x common factors =22 x 132 = 2904

LCM(44,396,726) = ( 44 × 396 × 726 ) / 2904

LCM(44,396,726) = 12649824 / 2904

LCM(44,396,726) = 4356


Lets's calculate GCF of 90,20,595

5 90, 20, 595
18, 4, 119

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4356/5

Therefore the LCM of Fractions 44/90,396/20,726/595 is 4356/5

Greatest Common Factor of 90,20,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,20,595 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 90,20,595 . The biggest common factor number is the GCF number.
So the greatest common factor 90,20,595 is 5.


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 44/90, 396/20, 726/595

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 44/90, 396/20, 726/595?

Answer: LCM of Numerators as per given numbers 44/90, 396/20, 726/595 is

LCM of Numerators i.e. for 44,396,726 is 4356

GCF of denominators i.e. for 90,20,595 is 5.

Thus, LCM of Fractions is 4356/5.Finally, LCM of Fractions for 44/90, 396/20, 726/595 is 4356/5.