Least Common Multiple of 159/30, 5105/762

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 159/30, 5105/762 quickly i.e. 811695/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/30, 5105/762 is 811695/6.

LCM(159/30, 5105/762) = 811695/6

LCM of 159/30, 5105/762

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 159/30,5105/762

Given numbers are 159/30,5105/762

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 159,5105

Least Common Multiple of Numerators i.e. LCM of 159,5105 is 811695.

GCF of Denominators means GCF of 30,762 as per the given fractions.

GCF of 30,762 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,5105

LCM of Fractions 159/30,5105/762 is 811695/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 811695

Least Common Multiple of 159,5105 with GCF Formula

Least Common Multiple of 159,5105 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 159,5105 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,5105) = 1

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

GCF(159,5105) x common factors =1 x 1 = 1

LCM(159,5105) = ( 159 × 5105 ) / 1

LCM(159,5105) = 811695 / 1

LCM(159,5105) = 811695


Lets's calculate GCF of 30,762

2 30, 762
3 15, 381
5, 127

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811695/6

Therefore the LCM of Fractions 159/30,5105/762 is 811695/6

Greatest Common Factor of 30,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,762 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 30,762 . The biggest common factor number is the GCF number.
So the greatest common factor 30,762 is 6.


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 159/30, 5105/762

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 159/30, 5105/762?

Answer: LCM of Numerators as per given numbers 159/30, 5105/762 is

LCM of Numerators i.e. for 159,5105 is 811695

GCF of denominators i.e. for 30,762 is 6.

Thus, LCM of Fractions is 811695/6.Finally, LCM of Fractions for 159/30, 5105/762 is 811695/6.