Least Common Multiple of 633/424, 3738/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 633/424, 3738/368 quickly i.e. 788718/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 633/424, 3738/368 is 788718/8.

LCM(633/424, 3738/368) = 788718/8

LCM of 633/424, 3738/368

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 633/424,3738/368

Given numbers are 633/424,3738/368

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 633,3738

Least Common Multiple of Numerators i.e. LCM of 633,3738 is 788718.

GCF of Denominators means GCF of 424,368 as per the given fractions.

GCF of 424,368 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 633,3738

LCM of Fractions 633/424,3738/368 is 788718/8

3 633, 3738
211, 1246

∴ So the LCM of the given numbers is 3 x 211 x 1246 = 788718

Least Common Multiple of 633,3738 with GCF Formula

Least Common Multiple of 633,3738 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 633,3738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,3738) = 3

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

GCF(633,3738) x common factors =3 x 1 = 3

LCM(633,3738) = ( 633 × 3738 ) / 3

LCM(633,3738) = 2366154 / 3

LCM(633,3738) = 788718


Lets's calculate GCF of 424,368

2 424, 368
2 212, 184
2 106, 92
53, 46

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 788718/8

Therefore the LCM of Fractions 633/424,3738/368 is 788718/8

Greatest Common Factor of 424,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,368 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 424,368 . The biggest common factor number is the GCF number.
So the greatest common factor 424,368 is 8.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 633/424, 3738/368

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 633/424, 3738/368?

Answer: LCM of Numerators as per given numbers 633/424, 3738/368 is

LCM of Numerators i.e. for 633,3738 is 788718

GCF of denominators i.e. for 424,368 is 8.

Thus, LCM of Fractions is 788718/8.Finally, LCM of Fractions for 633/424, 3738/368 is 788718/8.