Least Common Multiple of 68/17, 78/82, 340/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/17, 78/82, 340/117 quickly i.e. 13260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/17, 78/82, 340/117 is 13260.

LCM(68/17, 78/82, 340/117) = 13260

LCM of 68/17, 78/82, 340/117

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 68/17,78/82,340/117

Given numbers are 68/17,78/82,340/117

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 68,78,340

Least Common Multiple of Numerators i.e. LCM of 68,78,340 is 13260.

GCF of Denominators means GCF of 17,82,117 as per the given fractions.

GCF of 17,82,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,78,340

LCM of Fractions 68/17,78/82,340/117 is 13260

2 68, 78, 340
2 34, 39, 170
17 17, 39, 85
1, 39, 5

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 39 x 5 = 13260

Least Common Multiple of 68,78,340 with GCF Formula

Least Common Multiple of 68,78,340 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 68,78,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,78,340) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(68,78,340) x common factors =2 x 68 = 136

LCM(68,78,340) = ( 68 × 78 × 340 ) / 136

LCM(68,78,340) = 1803360 / 136

LCM(68,78,340) = 13260


Lets's calculate GCF of 17,82,117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13260/1

Therefore the LCM of Fractions 68/17,78/82,340/117 is 13260

Greatest Common Factor of 17,82,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,82,117 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 82

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

1,2,41,82

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 17,82,117 . The biggest common factor number is the GCF number.
So the greatest common factor 17,82,117 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 68/17, 78/82, 340/117

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 68/17, 78/82, 340/117?

Answer: LCM of Numerators as per given numbers 68/17, 78/82, 340/117 is

LCM of Numerators i.e. for 68,78,340 is 13260

GCF of denominators i.e. for 17,82,117 is 1.

Thus, LCM of Fractions is 13260.Finally, LCM of Fractions for 68/17, 78/82, 340/117 is 13260.