Least Common Multiple of 8596/837, 5006/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8596/837, 5006/747 quickly i.e. 21515788/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8596/837, 5006/747 is 21515788/9.

LCM(8596/837, 5006/747) = 21515788/9

LCM of 8596/837, 5006/747

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 8596/837,5006/747

Given numbers are 8596/837,5006/747

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 8596,5006

Least Common Multiple of Numerators i.e. LCM of 8596,5006 is 21515788.

GCF of Denominators means GCF of 837,747 as per the given fractions.

GCF of 837,747 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8596,5006

LCM of Fractions 8596/837,5006/747 is 21515788/9

2 8596, 5006
4298, 2503

∴ So the LCM of the given numbers is 2 x 4298 x 2503 = 21515788

Least Common Multiple of 8596,5006 with GCF Formula

Least Common Multiple of 8596,5006 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 8596,5006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8596,5006) = 2

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

GCF(8596,5006) x common factors =2 x 1 = 2

LCM(8596,5006) = ( 8596 × 5006 ) / 2

LCM(8596,5006) = 43031576 / 2

LCM(8596,5006) = 21515788


Lets's calculate GCF of 837,747

3 837, 747
3 279, 249
93, 83

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21515788/9

Therefore the LCM of Fractions 8596/837,5006/747 is 21515788/9

Greatest Common Factor of 837,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 837,747 By Matching Biggest Common Factor Method

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 837,747 . The biggest common factor number is the GCF number.
So the greatest common factor 837,747 is 9.


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 8596/837, 5006/747

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 8596/837, 5006/747?

Answer: LCM of Numerators as per given numbers 8596/837, 5006/747 is

LCM of Numerators i.e. for 8596,5006 is 21515788

GCF of denominators i.e. for 837,747 is 9.

Thus, LCM of Fractions is 21515788/9.Finally, LCM of Fractions for 8596/837, 5006/747 is 21515788/9.