Least Common Multiple of 17/82, 714/22, 218/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/82, 714/22, 218/192 quickly i.e. 38913 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/82, 714/22, 218/192 is 38913.

LCM(17/82, 714/22, 218/192) = 38913

LCM of 17/82, 714/22, 218/192

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 17/82,714/22,218/192

Given numbers are 17/82,714/22,218/192

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 17,714,218

Least Common Multiple of Numerators i.e. LCM of 17,714,218 is 77826.

GCF of Denominators means GCF of 82,22,192 as per the given fractions.

GCF of 82,22,192 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,714,218

LCM of Fractions 17/82,714/22,218/192 is 38913

2 17, 714, 218
17 17, 357, 109
1, 21, 109

∴ So the LCM of the given numbers is 2 x 17 x 1 x 21 x 109 = 77826

Least Common Multiple of 17,714,218 with GCF Formula

Least Common Multiple of 17,714,218 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 17,714,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,714,218) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(17,714,218) x common factors =1 x 34 = 34

LCM(17,714,218) = ( 17 × 714 × 218 ) / 34

LCM(17,714,218) = 2646084 / 34

LCM(17,714,218) = 77826


Lets's calculate GCF of 82,22,192

2 82, 22, 192
41, 11, 96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77826/2

Therefore the LCM of Fractions 17/82,714/22,218/192 is 38913

Greatest Common Factor of 82,22,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,22,192 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 82,22,192 . The biggest common factor number is the GCF number.
So the greatest common factor 82,22,192 is 2.


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 17/82, 714/22, 218/192

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 17/82, 714/22, 218/192?

Answer: LCM of Numerators as per given numbers 17/82, 714/22, 218/192 is

LCM of Numerators i.e. for 17,714,218 is 77826

GCF of denominators i.e. for 82,22,192 is 2.

Thus, LCM of Fractions is 38913.Finally, LCM of Fractions for 17/82, 714/22, 218/192 is 38913.