Least Common Multiple of 3993/498, 7042/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3993/498, 7042/195 quickly i.e. 9372902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3993/498, 7042/195 is 9372902.

LCM(3993/498, 7042/195) = 9372902

LCM of 3993/498, 7042/195

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 3993/498,7042/195

Given numbers are 3993/498,7042/195

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 3993,7042

Least Common Multiple of Numerators i.e. LCM of 3993,7042 is 28118706.

GCF of Denominators means GCF of 498,195 as per the given fractions.

GCF of 498,195 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3993,7042

LCM of Fractions 3993/498,7042/195 is 9372902

Given numbers has no common factors except 1. So, there LCM is their product i.e 28118706

Least Common Multiple of 3993,7042 with GCF Formula

Least Common Multiple of 3993,7042 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 3993,7042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3993,7042) = 1

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

GCF(3993,7042) x common factors =1 x 1 = 1

LCM(3993,7042) = ( 3993 × 7042 ) / 1

LCM(3993,7042) = 28118706 / 1

LCM(3993,7042) = 28118706


Lets's calculate GCF of 498,195

3 498, 195
166, 65

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28118706/3

Therefore the LCM of Fractions 3993/498,7042/195 is 9372902

Greatest Common Factor of 498,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,195 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 498,195 . The biggest common factor number is the GCF number.
So the greatest common factor 498,195 is 3.


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Frequently Asked Questions on Fractional LCM of 3993/498, 7042/195

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 3993/498, 7042/195?

Answer: LCM of Numerators as per given numbers 3993/498, 7042/195 is

LCM of Numerators i.e. for 3993,7042 is 28118706

GCF of denominators i.e. for 498,195 is 3.

Thus, LCM of Fractions is 9372902.Finally, LCM of Fractions for 3993/498, 7042/195 is 9372902.