Least Common Multiple of 92/272, 88/894, 422/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 92/272, 88/894, 422/192 quickly i.e. 213532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/272, 88/894, 422/192 is 213532.

LCM(92/272, 88/894, 422/192) = 213532

LCM of 92/272, 88/894, 422/192

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 92/272,88/894,422/192

Given numbers are 92/272,88/894,422/192

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 92,88,422

Least Common Multiple of Numerators i.e. LCM of 92,88,422 is 427064.

GCF of Denominators means GCF of 272,894,192 as per the given fractions.

GCF of 272,894,192 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,88,422

LCM of Fractions 92/272,88/894,422/192 is 213532

2 92, 88, 422
2 46, 44, 211
23, 22, 211

∴ So the LCM of the given numbers is 2 x 2 x 23 x 22 x 211 = 427064

Least Common Multiple of 92,88,422 with GCF Formula

Least Common Multiple of 92,88,422 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 92,88,422 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,88,422) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(92,88,422) x common factors =2 x 4 = 8

LCM(92,88,422) = ( 92 × 88 × 422 ) / 8

LCM(92,88,422) = 3416512 / 8

LCM(92,88,422) = 427064


Lets's calculate GCF of 272,894,192

2 272, 894, 192
136, 447, 96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427064/2

Therefore the LCM of Fractions 92/272,88/894,422/192 is 213532

Greatest Common Factor of 272,894,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,894,192 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 272,894,192 . The biggest common factor number is the GCF number.
So the greatest common factor 272,894,192 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 92/272, 88/894, 422/192

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 92/272, 88/894, 422/192?

Answer: LCM of Numerators as per given numbers 92/272, 88/894, 422/192 is

LCM of Numerators i.e. for 92,88,422 is 427064

GCF of denominators i.e. for 272,894,192 is 2.

Thus, LCM of Fractions is 213532.Finally, LCM of Fractions for 92/272, 88/894, 422/192 is 213532.