Least Common Multiple of 68/76, 17/42, 814/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/76, 17/42, 814/166 quickly i.e. 13838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/76, 17/42, 814/166 is 13838.

LCM(68/76, 17/42, 814/166) = 13838

LCM of 68/76, 17/42, 814/166

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 68/76,17/42,814/166

Given numbers are 68/76,17/42,814/166

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 68,17,814

Least Common Multiple of Numerators i.e. LCM of 68,17,814 is 27676.

GCF of Denominators means GCF of 76,42,166 as per the given fractions.

GCF of 76,42,166 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,17,814

LCM of Fractions 68/76,17/42,814/166 is 13838

2 68, 17, 814
17 34, 17, 407
2, 1, 407

∴ So the LCM of the given numbers is 2 x 17 x 2 x 1 x 407 = 27676

Least Common Multiple of 68,17,814 with GCF Formula

Least Common Multiple of 68,17,814 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 68,17,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,17,814) = 1

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

GCF(68,17,814) x common factors =1 x 34 = 34

LCM(68,17,814) = ( 68 × 17 × 814 ) / 34

LCM(68,17,814) = 940984 / 34

LCM(68,17,814) = 27676


Lets's calculate GCF of 76,42,166

2 76, 42, 166
38, 21, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27676/2

Therefore the LCM of Fractions 68/76,17/42,814/166 is 13838

Greatest Common Factor of 76,42,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,42,166 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 76,42,166 . The biggest common factor number is the GCF number.
So the greatest common factor 76,42,166 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 68/76, 17/42, 814/166

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 68/76, 17/42, 814/166?

Answer: LCM of Numerators as per given numbers 68/76, 17/42, 814/166 is

LCM of Numerators i.e. for 68,17,814 is 27676

GCF of denominators i.e. for 76,42,166 is 2.

Thus, LCM of Fractions is 13838.Finally, LCM of Fractions for 68/76, 17/42, 814/166 is 13838.