Least Common Multiple of 21/534, 4071/3649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/534, 4071/3649 quickly i.e. 28497/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/534, 4071/3649 is 28497/89.

LCM(21/534, 4071/3649) = 28497/89

LCM of 21/534, 4071/3649

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 21/534,4071/3649

Given numbers are 21/534,4071/3649

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 21,4071

Least Common Multiple of Numerators i.e. LCM of 21,4071 is 28497.

GCF of Denominators means GCF of 534,3649 as per the given fractions.

GCF of 534,3649 is 89 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,4071

LCM of Fractions 21/534,4071/3649 is 28497/89

3 21, 4071
7, 1357

∴ So the LCM of the given numbers is 3 x 7 x 1357 = 28497

Least Common Multiple of 21,4071 with GCF Formula

Least Common Multiple of 21,4071 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 21,4071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,4071) = 3

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

GCF(21,4071) x common factors =3 x 1 = 3

LCM(21,4071) = ( 21 × 4071 ) / 3

LCM(21,4071) = 85491 / 3

LCM(21,4071) = 28497


Lets's calculate GCF of 534,3649

89 534, 3649
6, 41

∴ So the GCF of the given numbers is 89 = 89

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28497/89

Therefore the LCM of Fractions 21/534,4071/3649 is 28497/89

Greatest Common Factor of 534,3649 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,3649 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 3649

List of positive integer factors of 3649 that divides 3649 without a remainder.

1,41,89,3649

Greatest Common Factor

We found the factors 534,3649 . The biggest common factor number is the GCF number.
So the greatest common factor 534,3649 is 89.


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 21/534, 4071/3649

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 21/534, 4071/3649?

Answer: LCM of Numerators as per given numbers 21/534, 4071/3649 is

LCM of Numerators i.e. for 21,4071 is 28497

GCF of denominators i.e. for 534,3649 is 89.

Thus, LCM of Fractions is 28497/89.Finally, LCM of Fractions for 21/534, 4071/3649 is 28497/89.