Least Common Multiple of 64/206, 975/57, 384/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/206, 975/57, 384/520 quickly i.e. 124800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/206, 975/57, 384/520 is 124800.

LCM(64/206, 975/57, 384/520) = 124800

LCM of 64/206, 975/57, 384/520

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 64/206,975/57,384/520

Given numbers are 64/206,975/57,384/520

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 64,975,384

Least Common Multiple of Numerators i.e. LCM of 64,975,384 is 124800.

GCF of Denominators means GCF of 206,57,520 as per the given fractions.

GCF of 206,57,520 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,975,384

LCM of Fractions 64/206,975/57,384/520 is 124800

2 64, 975, 384
2 32, 975, 192
2 16, 975, 96
2 8, 975, 48
2 4, 975, 24
2 2, 975, 12
3 1, 975, 6
1, 325, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 1 x 325 x 2 = 124800

Least Common Multiple of 64,975,384 with GCF Formula

Least Common Multiple of 64,975,384 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 64,975,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,975,384) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(64,975,384) x common factors =1 x 192 = 192

LCM(64,975,384) = ( 64 × 975 × 384 ) / 192

LCM(64,975,384) = 23961600 / 192

LCM(64,975,384) = 124800


Lets's calculate GCF of 206,57,520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124800/1

Therefore the LCM of Fractions 64/206,975/57,384/520 is 124800

Greatest Common Factor of 206,57,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,57,520 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 206,57,520 . The biggest common factor number is the GCF number.
So the greatest common factor 206,57,520 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 64/206, 975/57, 384/520

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 64/206, 975/57, 384/520?

Answer: LCM of Numerators as per given numbers 64/206, 975/57, 384/520 is

LCM of Numerators i.e. for 64,975,384 is 124800

GCF of denominators i.e. for 206,57,520 is 1.

Thus, LCM of Fractions is 124800.Finally, LCM of Fractions for 64/206, 975/57, 384/520 is 124800.