Least Common Multiple of 343/740, 678/300, 636/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/740, 678/300, 636/195 quickly i.e. 24650724/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/740, 678/300, 636/195 is 24650724/5.

LCM(343/740, 678/300, 636/195) = 24650724/5

LCM of 343/740, 678/300, 636/195

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 343/740,678/300,636/195

Given numbers are 343/740,678/300,636/195

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 343,678,636

Least Common Multiple of Numerators i.e. LCM of 343,678,636 is 24650724.

GCF of Denominators means GCF of 740,300,195 as per the given fractions.

GCF of 740,300,195 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,678,636

LCM of Fractions 343/740,678/300,636/195 is 24650724/5

2 343, 678, 636
3 343, 339, 318
343, 113, 106

∴ So the LCM of the given numbers is 2 x 3 x 343 x 113 x 106 = 24650724

Least Common Multiple of 343,678,636 with GCF Formula

Least Common Multiple of 343,678,636 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 343,678,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,678,636) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(343,678,636) x common factors =1 x 6 = 6

LCM(343,678,636) = ( 343 × 678 × 636 ) / 6

LCM(343,678,636) = 147904344 / 6

LCM(343,678,636) = 24650724


Lets's calculate GCF of 740,300,195

5 740, 300, 195
148, 60, 39

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24650724/5

Therefore the LCM of Fractions 343/740,678/300,636/195 is 24650724/5

Greatest Common Factor of 740,300,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,300,195 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 740,300,195 . The biggest common factor number is the GCF number.
So the greatest common factor 740,300,195 is 5.


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 343/740, 678/300, 636/195

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 343/740, 678/300, 636/195?

Answer: LCM of Numerators as per given numbers 343/740, 678/300, 636/195 is

LCM of Numerators i.e. for 343,678,636 is 24650724

GCF of denominators i.e. for 740,300,195 is 5.

Thus, LCM of Fractions is 24650724/5.Finally, LCM of Fractions for 343/740, 678/300, 636/195 is 24650724/5.