Least Common Multiple of 21/728, 670/50, 447/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/728, 670/50, 447/272 quickly i.e. 1048215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/728, 670/50, 447/272 is 1048215.

LCM(21/728, 670/50, 447/272) = 1048215

LCM of 21/728, 670/50, 447/272

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 21/728,670/50,447/272

Given numbers are 21/728,670/50,447/272

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 21,670,447

Least Common Multiple of Numerators i.e. LCM of 21,670,447 is 2096430.

GCF of Denominators means GCF of 728,50,272 as per the given fractions.

GCF of 728,50,272 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,670,447

LCM of Fractions 21/728,670/50,447/272 is 1048215

3 21, 670, 447
7, 670, 149

∴ So the LCM of the given numbers is 3 x 7 x 670 x 149 = 2096430

Least Common Multiple of 21,670,447 with GCF Formula

Least Common Multiple of 21,670,447 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 21,670,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,670,447) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,670,447) x common factors =1 x 3 = 3

LCM(21,670,447) = ( 21 × 670 × 447 ) / 3

LCM(21,670,447) = 6289290 / 3

LCM(21,670,447) = 2096430


Lets's calculate GCF of 728,50,272

2 728, 50, 272
364, 25, 136

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2096430/2

Therefore the LCM of Fractions 21/728,670/50,447/272 is 1048215

Greatest Common Factor of 728,50,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,50,272 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 728,50,272 . The biggest common factor number is the GCF number.
So the greatest common factor 728,50,272 is 2.


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 21/728, 670/50, 447/272

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 21/728, 670/50, 447/272?

Answer: LCM of Numerators as per given numbers 21/728, 670/50, 447/272 is

LCM of Numerators i.e. for 21,670,447 is 2096430

GCF of denominators i.e. for 728,50,272 is 2.

Thus, LCM of Fractions is 1048215.Finally, LCM of Fractions for 21/728, 670/50, 447/272 is 1048215.