Least Common Multiple of 68/667, 35/978, 159/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/667, 35/978, 159/427 quickly i.e. 378420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/667, 35/978, 159/427 is 378420.

LCM(68/667, 35/978, 159/427) = 378420

LCM of 68/667, 35/978, 159/427

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 68/667,35/978,159/427

Given numbers are 68/667,35/978,159/427

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 68,35,159

Least Common Multiple of Numerators i.e. LCM of 68,35,159 is 378420.

GCF of Denominators means GCF of 667,978,427 as per the given fractions.

GCF of 667,978,427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,35,159

LCM of Fractions 68/667,35/978,159/427 is 378420

Given numbers has no common factors except 1. So, there LCM is their product i.e 378420

Least Common Multiple of 68,35,159 with GCF Formula

Least Common Multiple of 68,35,159 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 68,35,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,35,159) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(68,35,159) x common factors =1 x 1 = 1

LCM(68,35,159) = ( 68 × 35 × 159 ) / 1

LCM(68,35,159) = 378420 / 1

LCM(68,35,159) = 378420


Lets's calculate GCF of 667,978,427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 378420/1

Therefore the LCM of Fractions 68/667,35/978,159/427 is 378420

Greatest Common Factor of 667,978,427 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,978,427 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Greatest Common Factor

We found the factors 667,978,427 . The biggest common factor number is the GCF number.
So the greatest common factor 667,978,427 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 68/667, 35/978, 159/427

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 68/667, 35/978, 159/427?

Answer: LCM of Numerators as per given numbers 68/667, 35/978, 159/427 is

LCM of Numerators i.e. for 68,35,159 is 378420

GCF of denominators i.e. for 667,978,427 is 1.

Thus, LCM of Fractions is 378420.Finally, LCM of Fractions for 68/667, 35/978, 159/427 is 378420.