Least Common Multiple of 159/349, 656/687, 337/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 159/349, 656/687, 337/675 quickly i.e. 35150448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/349, 656/687, 337/675 is 35150448.

LCM(159/349, 656/687, 337/675) = 35150448

LCM of 159/349, 656/687, 337/675

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 159/349,656/687,337/675

Given numbers are 159/349,656/687,337/675

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 159,656,337

Least Common Multiple of Numerators i.e. LCM of 159,656,337 is 35150448.

GCF of Denominators means GCF of 349,687,675 as per the given fractions.

GCF of 349,687,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,656,337

LCM of Fractions 159/349,656/687,337/675 is 35150448

Given numbers has no common factors except 1. So, there LCM is their product i.e 35150448

Least Common Multiple of 159,656,337 with GCF Formula

Least Common Multiple of 159,656,337 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 159,656,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,656,337) = 1

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

GCF(159,656,337) x common factors =1 x 1 = 1

LCM(159,656,337) = ( 159 × 656 × 337 ) / 1

LCM(159,656,337) = 35150448 / 1

LCM(159,656,337) = 35150448


Lets's calculate GCF of 349,687,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35150448/1

Therefore the LCM of Fractions 159/349,656/687,337/675 is 35150448

Greatest Common Factor of 349,687,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 349,687,675 By Matching Biggest Common Factor Method

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 349,687,675 . The biggest common factor number is the GCF number.
So the greatest common factor 349,687,675 is 1.


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 159/349, 656/687, 337/675

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 159/349, 656/687, 337/675?

Answer: LCM of Numerators as per given numbers 159/349, 656/687, 337/675 is

LCM of Numerators i.e. for 159,656,337 is 35150448

GCF of denominators i.e. for 349,687,675 is 1.

Thus, LCM of Fractions is 35150448.Finally, LCM of Fractions for 159/349, 656/687, 337/675 is 35150448.