Least Common Multiple of 21/250, 399/589, 735/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/250, 399/589, 735/441 quickly i.e. 13965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/250, 399/589, 735/441 is 13965.

LCM(21/250, 399/589, 735/441) = 13965

LCM of 21/250, 399/589, 735/441

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 21/250,399/589,735/441

Given numbers are 21/250,399/589,735/441

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 21,399,735

Least Common Multiple of Numerators i.e. LCM of 21,399,735 is 13965.

GCF of Denominators means GCF of 250,589,441 as per the given fractions.

GCF of 250,589,441 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,399,735

LCM of Fractions 21/250,399/589,735/441 is 13965

3 21, 399, 735
7 7, 133, 245
1, 19, 35

∴ So the LCM of the given numbers is 3 x 7 x 1 x 19 x 35 = 13965

Least Common Multiple of 21,399,735 with GCF Formula

Least Common Multiple of 21,399,735 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 21,399,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,399,735) = 21

common factors(in case of two or more numbers have common factors) = 21

GCF(21,399,735) x common factors =21 x 21 = 441

LCM(21,399,735) = ( 21 × 399 × 735 ) / 441

LCM(21,399,735) = 6158565 / 441

LCM(21,399,735) = 13965


Lets's calculate GCF of 250,589,441

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13965/1

Therefore the LCM of Fractions 21/250,399/589,735/441 is 13965

Greatest Common Factor of 250,589,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,589,441 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 250,589,441 . The biggest common factor number is the GCF number.
So the greatest common factor 250,589,441 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 21/250, 399/589, 735/441

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 21/250, 399/589, 735/441?

Answer: LCM of Numerators as per given numbers 21/250, 399/589, 735/441 is

LCM of Numerators i.e. for 21,399,735 is 13965

GCF of denominators i.e. for 250,589,441 is 1.

Thus, LCM of Fractions is 13965.Finally, LCM of Fractions for 21/250, 399/589, 735/441 is 13965.