Least Common Multiple of 81/222, 21/946, 194/650

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/222, 21/946, 194/650 quickly i.e. 54999 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/222, 21/946, 194/650 is 54999.

LCM(81/222, 21/946, 194/650) = 54999

LCM of 81/222, 21/946, 194/650

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 81/222,21/946,194/650

Given numbers are 81/222,21/946,194/650

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 81,21,194

Least Common Multiple of Numerators i.e. LCM of 81,21,194 is 109998.

GCF of Denominators means GCF of 222,946,650 as per the given fractions.

GCF of 222,946,650 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,21,194

LCM of Fractions 81/222,21/946,194/650 is 54999

3 81, 21, 194
27, 7, 194

∴ So the LCM of the given numbers is 3 x 27 x 7 x 194 = 109998

Least Common Multiple of 81,21,194 with GCF Formula

Least Common Multiple of 81,21,194 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 81,21,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,21,194) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,21,194) x common factors =1 x 3 = 3

LCM(81,21,194) = ( 81 × 21 × 194 ) / 3

LCM(81,21,194) = 329994 / 3

LCM(81,21,194) = 109998


Lets's calculate GCF of 222,946,650

2 222, 946, 650
111, 473, 325

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109998/2

Therefore the LCM of Fractions 81/222,21/946,194/650 is 54999

Greatest Common Factor of 222,946,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,946,650 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 222,946,650 . The biggest common factor number is the GCF number.
So the greatest common factor 222,946,650 is 2.


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 81/222, 21/946, 194/650

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 81/222, 21/946, 194/650?

Answer: LCM of Numerators as per given numbers 81/222, 21/946, 194/650 is

LCM of Numerators i.e. for 81,21,194 is 109998

GCF of denominators i.e. for 222,946,650 is 2.

Thus, LCM of Fractions is 54999.Finally, LCM of Fractions for 81/222, 21/946, 194/650 is 54999.