Least Common Multiple of 81/219, 18/237, 185/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/219, 18/237, 185/858 quickly i.e. 9990 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/219, 18/237, 185/858 is 9990.

LCM(81/219, 18/237, 185/858) = 9990

LCM of 81/219, 18/237, 185/858

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 81/219,18/237,185/858

Given numbers are 81/219,18/237,185/858

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 81,18,185

Least Common Multiple of Numerators i.e. LCM of 81,18,185 is 29970.

GCF of Denominators means GCF of 219,237,858 as per the given fractions.

GCF of 219,237,858 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,18,185

LCM of Fractions 81/219,18/237,185/858 is 9990

3 81, 18, 185
3 27, 6, 185
9, 2, 185

∴ So the LCM of the given numbers is 3 x 3 x 9 x 2 x 185 = 29970

Least Common Multiple of 81,18,185 with GCF Formula

Least Common Multiple of 81,18,185 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 81,18,185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,18,185) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(81,18,185) x common factors =1 x 9 = 9

LCM(81,18,185) = ( 81 × 18 × 185 ) / 9

LCM(81,18,185) = 269730 / 9

LCM(81,18,185) = 29970


Lets's calculate GCF of 219,237,858

3 219, 237, 858
73, 79, 286

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29970/3

Therefore the LCM of Fractions 81/219,18/237,185/858 is 9990

Greatest Common Factor of 219,237,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,237,858 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 219,237,858 . The biggest common factor number is the GCF number.
So the greatest common factor 219,237,858 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 81/219, 18/237, 185/858

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 81/219, 18/237, 185/858?

Answer: LCM of Numerators as per given numbers 81/219, 18/237, 185/858 is

LCM of Numerators i.e. for 81,18,185 is 29970

GCF of denominators i.e. for 219,237,858 is 3.

Thus, LCM of Fractions is 9990.Finally, LCM of Fractions for 81/219, 18/237, 185/858 is 9990.