Least Common Multiple of 7/345, 40/209, 31/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7/345, 40/209, 31/159 quickly i.e. 8680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7/345, 40/209, 31/159 is 8680.

LCM(7/345, 40/209, 31/159) = 8680

LCM of 7/345, 40/209, 31/159

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 7/345,40/209,31/159

Given numbers are 7/345,40/209,31/159

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 7,40,31

Least Common Multiple of Numerators i.e. LCM of 7,40,31 is 8680.

GCF of Denominators means GCF of 345,209,159 as per the given fractions.

GCF of 345,209,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7,40,31

LCM of Fractions 7/345,40/209,31/159 is 8680

Given numbers has no common factors except 1. So, there LCM is their product i.e 8680

Least Common Multiple of 7,40,31 with GCF Formula

Least Common Multiple of 7,40,31 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 7,40,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7,40,31) = 1

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

GCF(7,40,31) x common factors =1 x 1 = 1

LCM(7,40,31) = ( 7 × 40 × 31 ) / 1

LCM(7,40,31) = 8680 / 1

LCM(7,40,31) = 8680


Lets's calculate GCF of 345,209,159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8680/1

Therefore the LCM of Fractions 7/345,40/209,31/159 is 8680

Greatest Common Factor of 345,209,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,209,159 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 159

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

1,3,53,159

Greatest Common Factor

We found the factors 345,209,159 . The biggest common factor number is the GCF number.
So the greatest common factor 345,209,159 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 7/345, 40/209, 31/159

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 7/345, 40/209, 31/159?

Answer: LCM of Numerators as per given numbers 7/345, 40/209, 31/159 is

LCM of Numerators i.e. for 7,40,31 is 8680

GCF of denominators i.e. for 345,209,159 is 1.

Thus, LCM of Fractions is 8680.Finally, LCM of Fractions for 7/345, 40/209, 31/159 is 8680.