Least Common Multiple of 343/64, 789/35, 666/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 343/64, 789/35, 666/100 quickly i.e. 60079194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 343/64, 789/35, 666/100 is 60079194.

LCM(343/64, 789/35, 666/100) = 60079194

LCM of 343/64, 789/35, 666/100

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 343/64,789/35,666/100

Given numbers are 343/64,789/35,666/100

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 343,789,666

Least Common Multiple of Numerators i.e. LCM of 343,789,666 is 60079194.

GCF of Denominators means GCF of 64,35,100 as per the given fractions.

GCF of 64,35,100 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 343,789,666

LCM of Fractions 343/64,789/35,666/100 is 60079194

3 343, 789, 666
343, 263, 222

∴ So the LCM of the given numbers is 3 x 343 x 263 x 222 = 60079194

Least Common Multiple of 343,789,666 with GCF Formula

Least Common Multiple of 343,789,666 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 343,789,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,789,666) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(343,789,666) x common factors =1 x 3 = 3

LCM(343,789,666) = ( 343 × 789 × 666 ) / 3

LCM(343,789,666) = 180237582 / 3

LCM(343,789,666) = 60079194


Lets's calculate GCF of 64,35,100

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60079194/1

Therefore the LCM of Fractions 343/64,789/35,666/100 is 60079194

Greatest Common Factor of 64,35,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,35,100 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 64,35,100 . The biggest common factor number is the GCF number.
So the greatest common factor 64,35,100 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 343/64, 789/35, 666/100

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 343/64, 789/35, 666/100?

Answer: LCM of Numerators as per given numbers 343/64, 789/35, 666/100 is

LCM of Numerators i.e. for 343,789,666 is 60079194

GCF of denominators i.e. for 64,35,100 is 1.

Thus, LCM of Fractions is 60079194.Finally, LCM of Fractions for 343/64, 789/35, 666/100 is 60079194.