Least Common Multiple of 47/72, 54/20, 822/295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/72, 54/20, 822/295 quickly i.e. 347706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/72, 54/20, 822/295 is 347706.

LCM(47/72, 54/20, 822/295) = 347706

LCM of 47/72, 54/20, 822/295

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 47/72,54/20,822/295

Given numbers are 47/72,54/20,822/295

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 47,54,822

Least Common Multiple of Numerators i.e. LCM of 47,54,822 is 347706.

GCF of Denominators means GCF of 72,20,295 as per the given fractions.

GCF of 72,20,295 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,54,822

LCM of Fractions 47/72,54/20,822/295 is 347706

2 47, 54, 822
3 47, 27, 411
47, 9, 137

∴ So the LCM of the given numbers is 2 x 3 x 47 x 9 x 137 = 347706

Least Common Multiple of 47,54,822 with GCF Formula

Least Common Multiple of 47,54,822 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 47,54,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,54,822) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(47,54,822) x common factors =1 x 6 = 6

LCM(47,54,822) = ( 47 × 54 × 822 ) / 6

LCM(47,54,822) = 2086236 / 6

LCM(47,54,822) = 347706


Lets's calculate GCF of 72,20,295

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347706/1

Therefore the LCM of Fractions 47/72,54/20,822/295 is 347706

Greatest Common Factor of 72,20,295 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,20,295 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Greatest Common Factor

We found the factors 72,20,295 . The biggest common factor number is the GCF number.
So the greatest common factor 72,20,295 is 1.


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 47/72, 54/20, 822/295

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 47/72, 54/20, 822/295?

Answer: LCM of Numerators as per given numbers 47/72, 54/20, 822/295 is

LCM of Numerators i.e. for 47,54,822 is 347706

GCF of denominators i.e. for 72,20,295 is 1.

Thus, LCM of Fractions is 347706.Finally, LCM of Fractions for 47/72, 54/20, 822/295 is 347706.