Least Common Multiple of 36/17, 68/877, 183/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/17, 68/877, 183/857 quickly i.e. 37332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/17, 68/877, 183/857 is 37332.

LCM(36/17, 68/877, 183/857) = 37332

LCM of 36/17, 68/877, 183/857

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 36/17,68/877,183/857

Given numbers are 36/17,68/877,183/857

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 36,68,183

Least Common Multiple of Numerators i.e. LCM of 36,68,183 is 37332.

GCF of Denominators means GCF of 17,877,857 as per the given fractions.

GCF of 17,877,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,68,183

LCM of Fractions 36/17,68/877,183/857 is 37332

2 36, 68, 183
2 18, 34, 183
3 9, 17, 183
3, 17, 61

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 61 = 37332

Least Common Multiple of 36,68,183 with GCF Formula

Least Common Multiple of 36,68,183 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 36,68,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,68,183) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,68,183) x common factors =1 x 12 = 12

LCM(36,68,183) = ( 36 × 68 × 183 ) / 12

LCM(36,68,183) = 447984 / 12

LCM(36,68,183) = 37332


Lets's calculate GCF of 17,877,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37332/1

Therefore the LCM of Fractions 36/17,68/877,183/857 is 37332

Greatest Common Factor of 17,877,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,877,857 By Matching Biggest Common Factor Method

Factors of 17

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

1,17

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 17,877,857 . The biggest common factor number is the GCF number.
So the greatest common factor 17,877,857 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 36/17, 68/877, 183/857

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 36/17, 68/877, 183/857?

Answer: LCM of Numerators as per given numbers 36/17, 68/877, 183/857 is

LCM of Numerators i.e. for 36,68,183 is 37332

GCF of denominators i.e. for 17,877,857 is 1.

Thus, LCM of Fractions is 37332.Finally, LCM of Fractions for 36/17, 68/877, 183/857 is 37332.