Least Common Multiple of 933/36, 680/17, 486/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 933/36, 680/17, 486/606 quickly i.e. 51389640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/36, 680/17, 486/606 is 51389640.

LCM(933/36, 680/17, 486/606) = 51389640

LCM of 933/36, 680/17, 486/606

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 933/36,680/17,486/606

Given numbers are 933/36,680/17,486/606

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 933,680,486

Least Common Multiple of Numerators i.e. LCM of 933,680,486 is 51389640.

GCF of Denominators means GCF of 36,17,606 as per the given fractions.

GCF of 36,17,606 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,680,486

LCM of Fractions 933/36,680/17,486/606 is 51389640

2 933, 680, 486
3 933, 340, 243
311, 340, 81

∴ So the LCM of the given numbers is 2 x 3 x 311 x 340 x 81 = 51389640

Least Common Multiple of 933,680,486 with GCF Formula

Least Common Multiple of 933,680,486 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 933,680,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,680,486) = 1

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

GCF(933,680,486) x common factors =1 x 6 = 6

LCM(933,680,486) = ( 933 × 680 × 486 ) / 6

LCM(933,680,486) = 308337840 / 6

LCM(933,680,486) = 51389640


Lets's calculate GCF of 36,17,606

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51389640/1

Therefore the LCM of Fractions 933/36,680/17,486/606 is 51389640

Greatest Common Factor of 36,17,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,17,606 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 36,17,606 . The biggest common factor number is the GCF number.
So the greatest common factor 36,17,606 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 933/36, 680/17, 486/606

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 933/36, 680/17, 486/606?

Answer: LCM of Numerators as per given numbers 933/36, 680/17, 486/606 is

LCM of Numerators i.e. for 933,680,486 is 51389640

GCF of denominators i.e. for 36,17,606 is 1.

Thus, LCM of Fractions is 51389640.Finally, LCM of Fractions for 933/36, 680/17, 486/606 is 51389640.