Least Common Multiple of 589/56, 179/7596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/56, 179/7596 quickly i.e. 105431/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/56, 179/7596 is 105431/4.

LCM(589/56, 179/7596) = 105431/4

LCM of 589/56, 179/7596

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 589/56,179/7596

Given numbers are 589/56,179/7596

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 589,179

Least Common Multiple of Numerators i.e. LCM of 589,179 is 105431.

GCF of Denominators means GCF of 56,7596 as per the given fractions.

GCF of 56,7596 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,179

LCM of Fractions 589/56,179/7596 is 105431/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 105431

Least Common Multiple of 589,179 with GCF Formula

Least Common Multiple of 589,179 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 589,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,179) = 1

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

GCF(589,179) x common factors =1 x 1 = 1

LCM(589,179) = ( 589 × 179 ) / 1

LCM(589,179) = 105431 / 1

LCM(589,179) = 105431


Lets's calculate GCF of 56,7596

2 56, 7596
2 28, 3798
14, 1899

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 105431/4

Therefore the LCM of Fractions 589/56,179/7596 is 105431/4

Greatest Common Factor of 56,7596 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,7596 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 7596

List of positive integer factors of 7596 that divides 7596 without a remainder.

1,2,3,4,6,9,12,18,36,211,422,633,844,1266,1899,2532,3798,7596

Greatest Common Factor

We found the factors 56,7596 . The biggest common factor number is the GCF number.
So the greatest common factor 56,7596 is 4.


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 589/56, 179/7596

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 589/56, 179/7596?

Answer: LCM of Numerators as per given numbers 589/56, 179/7596 is

LCM of Numerators i.e. for 589,179 is 105431

GCF of denominators i.e. for 56,7596 is 4.

Thus, LCM of Fractions is 105431/4.Finally, LCM of Fractions for 589/56, 179/7596 is 105431/4.