Least Common Multiple of 18/81, 889/29, 894/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 18/81, 889/29, 894/538 quickly i.e. 2384298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/81, 889/29, 894/538 is 2384298.

LCM(18/81, 889/29, 894/538) = 2384298

LCM of 18/81, 889/29, 894/538

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 18/81,889/29,894/538

Given numbers are 18/81,889/29,894/538

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 18,889,894

Least Common Multiple of Numerators i.e. LCM of 18,889,894 is 2384298.

GCF of Denominators means GCF of 81,29,538 as per the given fractions.

GCF of 81,29,538 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,889,894

LCM of Fractions 18/81,889/29,894/538 is 2384298

2 18, 889, 894
3 9, 889, 447
3, 889, 149

∴ So the LCM of the given numbers is 2 x 3 x 3 x 889 x 149 = 2384298

Least Common Multiple of 18,889,894 with GCF Formula

Least Common Multiple of 18,889,894 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 18,889,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,889,894) = 1

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

GCF(18,889,894) x common factors =1 x 6 = 6

LCM(18,889,894) = ( 18 × 889 × 894 ) / 6

LCM(18,889,894) = 14305788 / 6

LCM(18,889,894) = 2384298


Lets's calculate GCF of 81,29,538

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2384298/1

Therefore the LCM of Fractions 18/81,889/29,894/538 is 2384298

Greatest Common Factor of 81,29,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,29,538 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 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 81,29,538 . The biggest common factor number is the GCF number.
So the greatest common factor 81,29,538 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 18/81, 889/29, 894/538

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 18/81, 889/29, 894/538?

Answer: LCM of Numerators as per given numbers 18/81, 889/29, 894/538 is

LCM of Numerators i.e. for 18,889,894 is 2384298

GCF of denominators i.e. for 81,29,538 is 1.

Thus, LCM of Fractions is 2384298.Finally, LCM of Fractions for 18/81, 889/29, 894/538 is 2384298.