Least Common Multiple of 807/159, 176/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 807/159, 176/147 quickly i.e. 47344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 807/159, 176/147 is 47344.

LCM(807/159, 176/147) = 47344

LCM of 807/159, 176/147

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 807/159,176/147

Given numbers are 807/159,176/147

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 807,176

Least Common Multiple of Numerators i.e. LCM of 807,176 is 142032.

GCF of Denominators means GCF of 159,147 as per the given fractions.

GCF of 159,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 807,176

LCM of Fractions 807/159,176/147 is 47344

Given numbers has no common factors except 1. So, there LCM is their product i.e 142032

Least Common Multiple of 807,176 with GCF Formula

Least Common Multiple of 807,176 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 807,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(807,176) = 1

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

GCF(807,176) x common factors =1 x 1 = 1

LCM(807,176) = ( 807 × 176 ) / 1

LCM(807,176) = 142032 / 1

LCM(807,176) = 142032


Lets's calculate GCF of 159,147

3 159, 147
53, 49

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 142032/3

Therefore the LCM of Fractions 807/159,176/147 is 47344

Greatest Common Factor of 159,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,147 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 159,147 . The biggest common factor number is the GCF number.
So the greatest common factor 159,147 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 807/159, 176/147

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 807/159, 176/147?

Answer: LCM of Numerators as per given numbers 807/159, 176/147 is

LCM of Numerators i.e. for 807,176 is 142032

GCF of denominators i.e. for 159,147 is 3.

Thus, LCM of Fractions is 47344.Finally, LCM of Fractions for 807/159, 176/147 is 47344.