Least Common Multiple of 64/864, 200/378, 343/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/864, 200/378, 343/109 quickly i.e. 548800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/864, 200/378, 343/109 is 548800.

LCM(64/864, 200/378, 343/109) = 548800

LCM of 64/864, 200/378, 343/109

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 64/864,200/378,343/109

Given numbers are 64/864,200/378,343/109

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 64,200,343

Least Common Multiple of Numerators i.e. LCM of 64,200,343 is 548800.

GCF of Denominators means GCF of 864,378,109 as per the given fractions.

GCF of 864,378,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,200,343

LCM of Fractions 64/864,200/378,343/109 is 548800

2 64, 200, 343
2 32, 100, 343
2 16, 50, 343
8, 25, 343

∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 25 x 343 = 548800

Least Common Multiple of 64,200,343 with GCF Formula

Least Common Multiple of 64,200,343 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 64,200,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,200,343) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(64,200,343) x common factors =1 x 8 = 8

LCM(64,200,343) = ( 64 × 200 × 343 ) / 8

LCM(64,200,343) = 4390400 / 8

LCM(64,200,343) = 548800


Lets's calculate GCF of 864,378,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548800/1

Therefore the LCM of Fractions 64/864,200/378,343/109 is 548800

Greatest Common Factor of 864,378,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,378,109 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 864,378,109 . The biggest common factor number is the GCF number.
So the greatest common factor 864,378,109 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 64/864, 200/378, 343/109

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 64/864, 200/378, 343/109?

Answer: LCM of Numerators as per given numbers 64/864, 200/378, 343/109 is

LCM of Numerators i.e. for 64,200,343 is 548800

GCF of denominators i.e. for 864,378,109 is 1.

Thus, LCM of Fractions is 548800.Finally, LCM of Fractions for 64/864, 200/378, 343/109 is 548800.