Least Common Multiple of 44/520, 595/289, 105/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/520, 595/289, 105/594 quickly i.e. 78540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/520, 595/289, 105/594 is 78540.

LCM(44/520, 595/289, 105/594) = 78540

LCM of 44/520, 595/289, 105/594

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 44/520,595/289,105/594

Given numbers are 44/520,595/289,105/594

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 44,595,105

Least Common Multiple of Numerators i.e. LCM of 44,595,105 is 78540.

GCF of Denominators means GCF of 520,289,594 as per the given fractions.

GCF of 520,289,594 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,595,105

LCM of Fractions 44/520,595/289,105/594 is 78540

5 44, 595, 105
7 44, 119, 21
44, 17, 3

∴ So the LCM of the given numbers is 5 x 7 x 44 x 17 x 3 = 78540

Least Common Multiple of 44,595,105 with GCF Formula

Least Common Multiple of 44,595,105 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 44,595,105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,595,105) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(44,595,105) x common factors =1 x 35 = 35

LCM(44,595,105) = ( 44 × 595 × 105 ) / 35

LCM(44,595,105) = 2748900 / 35

LCM(44,595,105) = 78540


Lets's calculate GCF of 520,289,594

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78540/1

Therefore the LCM of Fractions 44/520,595/289,105/594 is 78540

Greatest Common Factor of 520,289,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,289,594 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 520,289,594 . The biggest common factor number is the GCF number.
So the greatest common factor 520,289,594 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 44/520, 595/289, 105/594

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 44/520, 595/289, 105/594?

Answer: LCM of Numerators as per given numbers 44/520, 595/289, 105/594 is

LCM of Numerators i.e. for 44,595,105 is 78540

GCF of denominators i.e. for 520,289,594 is 1.

Thus, LCM of Fractions is 78540.Finally, LCM of Fractions for 44/520, 595/289, 105/594 is 78540.