Least Common Multiple of 53/28, 76/19, 20/93, 27/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/28, 76/19, 20/93, 27/981 quickly i.e. 543780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/28, 76/19, 20/93, 27/981 is 543780.

LCM(53/28, 76/19, 20/93, 27/981) = 543780

LCM of 53/28, 76/19, 20/93, 27/981

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 53/28,76/19,20/93,27/981

Given numbers are 53/28,76/19,20/93,27/981

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 53,76,20,27

Least Common Multiple of Numerators i.e. LCM of 53,76,20,27 is 543780.

GCF of Denominators means GCF of 28,19,93,981 as per the given fractions.

GCF of 28,19,93,981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,76,20,27

LCM of Fractions 53/28,76/19,20/93,27/981 is 543780

2 53, 76, 20, 27
2 53, 38, 10, 27
53, 19, 5, 27

∴ So the LCM of the given numbers is 2 x 2 x 53 x 19 x 5 x 27 = 543780

Least Common Multiple of 53,76,20,27 with GCF Formula

Least Common Multiple of 53,76,20,27 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 53,76,20,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,76,20,27) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(53,76,20,27) x common factors =1 x 4 = 4

LCM(53,76,20,27) = ( 53 × 76 × 20 × 27 ) / 4

LCM(53,76,20,27) = 2175120 / 4

LCM(53,76,20,27) = 543780


Lets's calculate GCF of 28,19,93,981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543780/1

Therefore the LCM of Fractions 53/28,76/19,20/93,27/981 is 543780

Greatest Common Factor of 28,19,93,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,19,93,981 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 28,19,93,981 . The biggest common factor number is the GCF number.
So the greatest common factor 28,19,93,981 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/28, 76/19, 20/93, 27/981

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 53/28, 76/19, 20/93, 27/981?

Answer: LCM of Numerators as per given numbers 53/28, 76/19, 20/93, 27/981 is

LCM of Numerators i.e. for 53,76,20,27 is 543780

GCF of denominators i.e. for 28,19,93,981 is 1.

Thus, LCM of Fractions is 543780.Finally, LCM of Fractions for 53/28, 76/19, 20/93, 27/981 is 543780.