Least Common Multiple of 675/80, 685/68, 343/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/80, 685/68, 343/731 quickly i.e. 31718925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/80, 685/68, 343/731 is 31718925.

LCM(675/80, 685/68, 343/731) = 31718925

LCM of 675/80, 685/68, 343/731

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 675/80,685/68,343/731

Given numbers are 675/80,685/68,343/731

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 675,685,343

Least Common Multiple of Numerators i.e. LCM of 675,685,343 is 31718925.

GCF of Denominators means GCF of 80,68,731 as per the given fractions.

GCF of 80,68,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,685,343

LCM of Fractions 675/80,685/68,343/731 is 31718925

5 675, 685, 343
135, 137, 343

∴ So the LCM of the given numbers is 5 x 135 x 137 x 343 = 31718925

Least Common Multiple of 675,685,343 with GCF Formula

Least Common Multiple of 675,685,343 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 675,685,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,685,343) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(675,685,343) x common factors =1 x 5 = 5

LCM(675,685,343) = ( 675 × 685 × 343 ) / 5

LCM(675,685,343) = 158594625 / 5

LCM(675,685,343) = 31718925


Lets's calculate GCF of 80,68,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31718925/1

Therefore the LCM of Fractions 675/80,685/68,343/731 is 31718925

Greatest Common Factor of 80,68,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,68,731 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 80,68,731 . The biggest common factor number is the GCF number.
So the greatest common factor 80,68,731 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 675/80, 685/68, 343/731

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 675/80, 685/68, 343/731?

Answer: LCM of Numerators as per given numbers 675/80, 685/68, 343/731 is

LCM of Numerators i.e. for 675,685,343 is 31718925

GCF of denominators i.e. for 80,68,731 is 1.

Thus, LCM of Fractions is 31718925.Finally, LCM of Fractions for 675/80, 685/68, 343/731 is 31718925.