Least Common Multiple of 384/975, 165/566, 566/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/975, 165/566, 566/950 quickly i.e. 5976960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/975, 165/566, 566/950 is 5976960.

LCM(384/975, 165/566, 566/950) = 5976960

LCM of 384/975, 165/566, 566/950

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 384/975,165/566,566/950

Given numbers are 384/975,165/566,566/950

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 384,165,566

Least Common Multiple of Numerators i.e. LCM of 384,165,566 is 5976960.

GCF of Denominators means GCF of 975,566,950 as per the given fractions.

GCF of 975,566,950 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,165,566

LCM of Fractions 384/975,165/566,566/950 is 5976960

2 384, 165, 566
3 192, 165, 283
64, 55, 283

∴ So the LCM of the given numbers is 2 x 3 x 64 x 55 x 283 = 5976960

Least Common Multiple of 384,165,566 with GCF Formula

Least Common Multiple of 384,165,566 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 384,165,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,165,566) = 1

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

GCF(384,165,566) x common factors =1 x 6 = 6

LCM(384,165,566) = ( 384 × 165 × 566 ) / 6

LCM(384,165,566) = 35861760 / 6

LCM(384,165,566) = 5976960


Lets's calculate GCF of 975,566,950

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5976960/1

Therefore the LCM of Fractions 384/975,165/566,566/950 is 5976960

Greatest Common Factor of 975,566,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,566,950 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 975,566,950 . The biggest common factor number is the GCF number.
So the greatest common factor 975,566,950 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 384/975, 165/566, 566/950

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 384/975, 165/566, 566/950?

Answer: LCM of Numerators as per given numbers 384/975, 165/566, 566/950 is

LCM of Numerators i.e. for 384,165,566 is 5976960

GCF of denominators i.e. for 975,566,950 is 1.

Thus, LCM of Fractions is 5976960.Finally, LCM of Fractions for 384/975, 165/566, 566/950 is 5976960.