Least Common Multiple of 943/21, 537/33, 837/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 943/21, 537/33, 837/270 quickly i.e. 47094363 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 943/21, 537/33, 837/270 is 47094363.

LCM(943/21, 537/33, 837/270) = 47094363

LCM of 943/21, 537/33, 837/270

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 943/21,537/33,837/270

Given numbers are 943/21,537/33,837/270

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 943,537,837

Least Common Multiple of Numerators i.e. LCM of 943,537,837 is 141283089.

GCF of Denominators means GCF of 21,33,270 as per the given fractions.

GCF of 21,33,270 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 943,537,837

LCM of Fractions 943/21,537/33,837/270 is 47094363

3 943, 537, 837
943, 179, 279

∴ So the LCM of the given numbers is 3 x 943 x 179 x 279 = 141283089

Least Common Multiple of 943,537,837 with GCF Formula

Least Common Multiple of 943,537,837 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 943,537,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,537,837) = 1

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

GCF(943,537,837) x common factors =1 x 3 = 3

LCM(943,537,837) = ( 943 × 537 × 837 ) / 3

LCM(943,537,837) = 423849267 / 3

LCM(943,537,837) = 141283089


Lets's calculate GCF of 21,33,270

3 21, 33, 270
7, 11, 90

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141283089/3

Therefore the LCM of Fractions 943/21,537/33,837/270 is 47094363

Greatest Common Factor of 21,33,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,33,270 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 21,33,270 . The biggest common factor number is the GCF number.
So the greatest common factor 21,33,270 is 3.


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 943/21, 537/33, 837/270

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 943/21, 537/33, 837/270?

Answer: LCM of Numerators as per given numbers 943/21, 537/33, 837/270 is

LCM of Numerators i.e. for 943,537,837 is 141283089

GCF of denominators i.e. for 21,33,270 is 3.

Thus, LCM of Fractions is 47094363.Finally, LCM of Fractions for 943/21, 537/33, 837/270 is 47094363.