Least Common Multiple of 168/76, 622/15, 159/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/76, 622/15, 159/854 quickly i.e. 2769144 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/76, 622/15, 159/854 is 2769144.

LCM(168/76, 622/15, 159/854) = 2769144

LCM of 168/76, 622/15, 159/854

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 168/76,622/15,159/854

Given numbers are 168/76,622/15,159/854

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 168,622,159

Least Common Multiple of Numerators i.e. LCM of 168,622,159 is 2769144.

GCF of Denominators means GCF of 76,15,854 as per the given fractions.

GCF of 76,15,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,622,159

LCM of Fractions 168/76,622/15,159/854 is 2769144

2 168, 622, 159
3 84, 311, 159
28, 311, 53

∴ So the LCM of the given numbers is 2 x 3 x 28 x 311 x 53 = 2769144

Least Common Multiple of 168,622,159 with GCF Formula

Least Common Multiple of 168,622,159 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 168,622,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,622,159) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(168,622,159) x common factors =1 x 6 = 6

LCM(168,622,159) = ( 168 × 622 × 159 ) / 6

LCM(168,622,159) = 16614864 / 6

LCM(168,622,159) = 2769144


Lets's calculate GCF of 76,15,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2769144/1

Therefore the LCM of Fractions 168/76,622/15,159/854 is 2769144

Greatest Common Factor of 76,15,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,15,854 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 76,15,854 . The biggest common factor number is the GCF number.
So the greatest common factor 76,15,854 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 168/76, 622/15, 159/854

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 168/76, 622/15, 159/854?

Answer: LCM of Numerators as per given numbers 168/76, 622/15, 159/854 is

LCM of Numerators i.e. for 168,622,159 is 2769144

GCF of denominators i.e. for 76,15,854 is 1.

Thus, LCM of Fractions is 2769144.Finally, LCM of Fractions for 168/76, 622/15, 159/854 is 2769144.