Least Common Multiple of 229/72, 511/47, 997/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/72, 511/47, 997/22 quickly i.e. 116667943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/72, 511/47, 997/22 is 116667943.

LCM(229/72, 511/47, 997/22) = 116667943

LCM of 229/72, 511/47, 997/22

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 229/72,511/47,997/22

Given numbers are 229/72,511/47,997/22

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 229,511,997

Least Common Multiple of Numerators i.e. LCM of 229,511,997 is 116667943.

GCF of Denominators means GCF of 72,47,22 as per the given fractions.

GCF of 72,47,22 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,511,997

LCM of Fractions 229/72,511/47,997/22 is 116667943

Given numbers has no common factors except 1. So, there LCM is their product i.e 116667943

Least Common Multiple of 229,511,997 with GCF Formula

Least Common Multiple of 229,511,997 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 229,511,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,511,997) = 1

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

GCF(229,511,997) x common factors =1 x 1 = 1

LCM(229,511,997) = ( 229 × 511 × 997 ) / 1

LCM(229,511,997) = 116667943 / 1

LCM(229,511,997) = 116667943


Lets's calculate GCF of 72,47,22

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116667943/1

Therefore the LCM of Fractions 229/72,511/47,997/22 is 116667943

Greatest Common Factor of 72,47,22 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,47,22 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 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Greatest Common Factor

We found the factors 72,47,22 . The biggest common factor number is the GCF number.
So the greatest common factor 72,47,22 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 229/72, 511/47, 997/22

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 229/72, 511/47, 997/22?

Answer: LCM of Numerators as per given numbers 229/72, 511/47, 997/22 is

LCM of Numerators i.e. for 229,511,997 is 116667943

GCF of denominators i.e. for 72,47,22 is 1.

Thus, LCM of Fractions is 116667943.Finally, LCM of Fractions for 229/72, 511/47, 997/22 is 116667943.