Least Common Multiple of 68/82, 14/66, 353/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/82, 14/66, 353/31 quickly i.e. 168028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/82, 14/66, 353/31 is 168028.

LCM(68/82, 14/66, 353/31) = 168028

LCM of 68/82, 14/66, 353/31

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 68/82,14/66,353/31

Given numbers are 68/82,14/66,353/31

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 68,14,353

Least Common Multiple of Numerators i.e. LCM of 68,14,353 is 168028.

GCF of Denominators means GCF of 82,66,31 as per the given fractions.

GCF of 82,66,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,14,353

LCM of Fractions 68/82,14/66,353/31 is 168028

2 68, 14, 353
34, 7, 353

∴ So the LCM of the given numbers is 2 x 34 x 7 x 353 = 168028

Least Common Multiple of 68,14,353 with GCF Formula

Least Common Multiple of 68,14,353 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 68,14,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,14,353) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,14,353) x common factors =1 x 2 = 2

LCM(68,14,353) = ( 68 × 14 × 353 ) / 2

LCM(68,14,353) = 336056 / 2

LCM(68,14,353) = 168028


Lets's calculate GCF of 82,66,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168028/1

Therefore the LCM of Fractions 68/82,14/66,353/31 is 168028

Greatest Common Factor of 82,66,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,66,31 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 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 82,66,31 . The biggest common factor number is the GCF number.
So the greatest common factor 82,66,31 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 68/82, 14/66, 353/31

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 68/82, 14/66, 353/31?

Answer: LCM of Numerators as per given numbers 68/82, 14/66, 353/31 is

LCM of Numerators i.e. for 68,14,353 is 168028

GCF of denominators i.e. for 82,66,31 is 1.

Thus, LCM of Fractions is 168028.Finally, LCM of Fractions for 68/82, 14/66, 353/31 is 168028.