Least Common Multiple of 192/799, 2136/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 192/799, 2136/937 quickly i.e. 17088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/799, 2136/937 is 17088.

LCM(192/799, 2136/937) = 17088

LCM of 192/799, 2136/937

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 192/799,2136/937

Given numbers are 192/799,2136/937

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 192,2136

Least Common Multiple of Numerators i.e. LCM of 192,2136 is 17088.

GCF of Denominators means GCF of 799,937 as per the given fractions.

GCF of 799,937 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,2136

LCM of Fractions 192/799,2136/937 is 17088

2 192, 2136
2 96, 1068
2 48, 534
3 24, 267
8, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 8 x 89 = 17088

Least Common Multiple of 192,2136 with GCF Formula

Least Common Multiple of 192,2136 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 192,2136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,2136) = 24

common factors(in case of two or more numbers have common factors) = 1

GCF(192,2136) x common factors =24 x 1 = 24

LCM(192,2136) = ( 192 × 2136 ) / 24

LCM(192,2136) = 410112 / 24

LCM(192,2136) = 17088


Lets's calculate GCF of 799,937

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17088/1

Therefore the LCM of Fractions 192/799,2136/937 is 17088

Greatest Common Factor of 799,937 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,937 By Matching Biggest Common Factor Method

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Greatest Common Factor

We found the factors 799,937 . The biggest common factor number is the GCF number.
So the greatest common factor 799,937 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 192/799, 2136/937

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 192/799, 2136/937?

Answer: LCM of Numerators as per given numbers 192/799, 2136/937 is

LCM of Numerators i.e. for 192,2136 is 17088

GCF of denominators i.e. for 799,937 is 1.

Thus, LCM of Fractions is 17088.Finally, LCM of Fractions for 192/799, 2136/937 is 17088.