Least Common Multiple of 81/924, 396/430, 194/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/924, 396/430, 194/172 quickly i.e. 172854 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/924, 396/430, 194/172 is 172854.

LCM(81/924, 396/430, 194/172) = 172854

LCM of 81/924, 396/430, 194/172

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 81/924,396/430,194/172

Given numbers are 81/924,396/430,194/172

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 81,396,194

Least Common Multiple of Numerators i.e. LCM of 81,396,194 is 345708.

GCF of Denominators means GCF of 924,430,172 as per the given fractions.

GCF of 924,430,172 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,396,194

LCM of Fractions 81/924,396/430,194/172 is 172854

2 81, 396, 194
3 81, 198, 97
3 27, 66, 97
9, 22, 97

∴ So the LCM of the given numbers is 2 x 3 x 3 x 9 x 22 x 97 = 345708

Least Common Multiple of 81,396,194 with GCF Formula

Least Common Multiple of 81,396,194 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 81,396,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,396,194) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(81,396,194) x common factors =1 x 18 = 18

LCM(81,396,194) = ( 81 × 396 × 194 ) / 18

LCM(81,396,194) = 6222744 / 18

LCM(81,396,194) = 345708


Lets's calculate GCF of 924,430,172

2 924, 430, 172
462, 215, 86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345708/2

Therefore the LCM of Fractions 81/924,396/430,194/172 is 172854

Greatest Common Factor of 924,430,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,430,172 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 924,430,172 . The biggest common factor number is the GCF number.
So the greatest common factor 924,430,172 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 81/924, 396/430, 194/172

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 81/924, 396/430, 194/172?

Answer: LCM of Numerators as per given numbers 81/924, 396/430, 194/172 is

LCM of Numerators i.e. for 81,396,194 is 345708

GCF of denominators i.e. for 924,430,172 is 2.

Thus, LCM of Fractions is 172854.Finally, LCM of Fractions for 81/924, 396/430, 194/172 is 172854.