Least Common Multiple of 49/81, 37/27, 65/48, 21/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/81, 37/27, 65/48, 21/753 quickly i.e. 117845 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/81, 37/27, 65/48, 21/753 is 117845.

LCM(49/81, 37/27, 65/48, 21/753) = 117845

LCM of 49/81, 37/27, 65/48, 21/753

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 49/81,37/27,65/48,21/753

Given numbers are 49/81,37/27,65/48,21/753

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 49,37,65,21

Least Common Multiple of Numerators i.e. LCM of 49,37,65,21 is 353535.

GCF of Denominators means GCF of 81,27,48,753 as per the given fractions.

GCF of 81,27,48,753 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,37,65,21

LCM of Fractions 49/81,37/27,65/48,21/753 is 117845

7 49, 37, 65, 21
7, 37, 65, 3

∴ So the LCM of the given numbers is 7 x 7 x 37 x 65 x 3 = 353535

Least Common Multiple of 49,37,65,21 with GCF Formula

Least Common Multiple of 49,37,65,21 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 49,37,65,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,37,65,21) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,37,65,21) x common factors =1 x 7 = 7

LCM(49,37,65,21) = ( 49 × 37 × 65 × 21 ) / 7

LCM(49,37,65,21) = 2474745 / 7

LCM(49,37,65,21) = 353535


Lets's calculate GCF of 81,27,48,753

3 81, 27, 48, 753
27, 9, 16, 251

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353535/3

Therefore the LCM of Fractions 49/81,37/27,65/48,21/753 is 117845

Greatest Common Factor of 81,27,48,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,27,48,753 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 81,27,48,753 . The biggest common factor number is the GCF number.
So the greatest common factor 81,27,48,753 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 49/81, 37/27, 65/48, 21/753

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 49/81, 37/27, 65/48, 21/753?

Answer: LCM of Numerators as per given numbers 49/81, 37/27, 65/48, 21/753 is

LCM of Numerators i.e. for 49,37,65,21 is 353535

GCF of denominators i.e. for 81,27,48,753 is 3.

Thus, LCM of Fractions is 117845.Finally, LCM of Fractions for 49/81, 37/27, 65/48, 21/753 is 117845.