Least Common Multiple of 936/873, 566/359, 606/491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 936/873, 566/359, 606/491 quickly i.e. 26753688 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/873, 566/359, 606/491 is 26753688.

LCM(936/873, 566/359, 606/491) = 26753688

LCM of 936/873, 566/359, 606/491

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 936/873,566/359,606/491

Given numbers are 936/873,566/359,606/491

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 936,566,606

Least Common Multiple of Numerators i.e. LCM of 936,566,606 is 26753688.

GCF of Denominators means GCF of 873,359,491 as per the given fractions.

GCF of 873,359,491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,566,606

LCM of Fractions 936/873,566/359,606/491 is 26753688

2 936, 566, 606
3 468, 283, 303
156, 283, 101

∴ So the LCM of the given numbers is 2 x 3 x 156 x 283 x 101 = 26753688

Least Common Multiple of 936,566,606 with GCF Formula

Least Common Multiple of 936,566,606 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 936,566,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,566,606) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(936,566,606) x common factors =2 x 6 = 12

LCM(936,566,606) = ( 936 × 566 × 606 ) / 12

LCM(936,566,606) = 321044256 / 12

LCM(936,566,606) = 26753688


Lets's calculate GCF of 873,359,491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26753688/1

Therefore the LCM of Fractions 936/873,566/359,606/491 is 26753688

Greatest Common Factor of 873,359,491 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,359,491 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Greatest Common Factor

We found the factors 873,359,491 . The biggest common factor number is the GCF number.
So the greatest common factor 873,359,491 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 936/873, 566/359, 606/491

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 936/873, 566/359, 606/491?

Answer: LCM of Numerators as per given numbers 936/873, 566/359, 606/491 is

LCM of Numerators i.e. for 936,566,606 is 26753688

GCF of denominators i.e. for 873,359,491 is 1.

Thus, LCM of Fractions is 26753688.Finally, LCM of Fractions for 936/873, 566/359, 606/491 is 26753688.