Least Common Multiple of 21/384, 781/296, 107/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/384, 781/296, 107/975 quickly i.e. 1754907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/384, 781/296, 107/975 is 1754907.

LCM(21/384, 781/296, 107/975) = 1754907

LCM of 21/384, 781/296, 107/975

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 21/384,781/296,107/975

Given numbers are 21/384,781/296,107/975

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 21,781,107

Least Common Multiple of Numerators i.e. LCM of 21,781,107 is 1754907.

GCF of Denominators means GCF of 384,296,975 as per the given fractions.

GCF of 384,296,975 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,781,107

LCM of Fractions 21/384,781/296,107/975 is 1754907

Given numbers has no common factors except 1. So, there LCM is their product i.e 1754907

Least Common Multiple of 21,781,107 with GCF Formula

Least Common Multiple of 21,781,107 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 21,781,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,781,107) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,781,107) x common factors =1 x 1 = 1

LCM(21,781,107) = ( 21 × 781 × 107 ) / 1

LCM(21,781,107) = 1754907 / 1

LCM(21,781,107) = 1754907


Lets's calculate GCF of 384,296,975

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1754907/1

Therefore the LCM of Fractions 21/384,781/296,107/975 is 1754907

Greatest Common Factor of 384,296,975 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,296,975 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

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

Greatest Common Factor

We found the factors 384,296,975 . The biggest common factor number is the GCF number.
So the greatest common factor 384,296,975 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 21/384, 781/296, 107/975

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 21/384, 781/296, 107/975?

Answer: LCM of Numerators as per given numbers 21/384, 781/296, 107/975 is

LCM of Numerators i.e. for 21,781,107 is 1754907

GCF of denominators i.e. for 384,296,975 is 1.

Thus, LCM of Fractions is 1754907.Finally, LCM of Fractions for 21/384, 781/296, 107/975 is 1754907.