Least Common Multiple of 636/16, 376/42, 168/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 636/16, 376/42, 168/199 quickly i.e. 418488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/16, 376/42, 168/199 is 418488.

LCM(636/16, 376/42, 168/199) = 418488

LCM of 636/16, 376/42, 168/199

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 636/16,376/42,168/199

Given numbers are 636/16,376/42,168/199

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 636,376,168

Least Common Multiple of Numerators i.e. LCM of 636,376,168 is 418488.

GCF of Denominators means GCF of 16,42,199 as per the given fractions.

GCF of 16,42,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,376,168

LCM of Fractions 636/16,376/42,168/199 is 418488

2 636, 376, 168
2 318, 188, 84
2 159, 94, 42
3 159, 47, 21
53, 47, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 53 x 47 x 7 = 418488

Least Common Multiple of 636,376,168 with GCF Formula

Least Common Multiple of 636,376,168 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 636,376,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,376,168) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(636,376,168) x common factors =4 x 24 = 96

LCM(636,376,168) = ( 636 × 376 × 168 ) / 96

LCM(636,376,168) = 40174848 / 96

LCM(636,376,168) = 418488


Lets's calculate GCF of 16,42,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418488/1

Therefore the LCM of Fractions 636/16,376/42,168/199 is 418488

Greatest Common Factor of 16,42,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,42,199 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 16,42,199 . The biggest common factor number is the GCF number.
So the greatest common factor 16,42,199 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 636/16, 376/42, 168/199

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 636/16, 376/42, 168/199?

Answer: LCM of Numerators as per given numbers 636/16, 376/42, 168/199 is

LCM of Numerators i.e. for 636,376,168 is 418488

GCF of denominators i.e. for 16,42,199 is 1.

Thus, LCM of Fractions is 418488.Finally, LCM of Fractions for 636/16, 376/42, 168/199 is 418488.