Least Common Multiple of 3902/398, 4789/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3902/398, 4789/432 quickly i.e. 9343339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3902/398, 4789/432 is 9343339.

LCM(3902/398, 4789/432) = 9343339

LCM of 3902/398, 4789/432

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 3902/398,4789/432

Given numbers are 3902/398,4789/432

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 3902,4789

Least Common Multiple of Numerators i.e. LCM of 3902,4789 is 18686678.

GCF of Denominators means GCF of 398,432 as per the given fractions.

GCF of 398,432 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3902,4789

LCM of Fractions 3902/398,4789/432 is 9343339

Given numbers has no common factors except 1. So, there LCM is their product i.e 18686678

Least Common Multiple of 3902,4789 with GCF Formula

Least Common Multiple of 3902,4789 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 3902,4789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3902,4789) = 1

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

GCF(3902,4789) x common factors =1 x 1 = 1

LCM(3902,4789) = ( 3902 × 4789 ) / 1

LCM(3902,4789) = 18686678 / 1

LCM(3902,4789) = 18686678


Lets's calculate GCF of 398,432

2 398, 432
199, 216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18686678/2

Therefore the LCM of Fractions 3902/398,4789/432 is 9343339

Greatest Common Factor of 398,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,432 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 398,432 . The biggest common factor number is the GCF number.
So the greatest common factor 398,432 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3902/398, 4789/432

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 3902/398, 4789/432?

Answer: LCM of Numerators as per given numbers 3902/398, 4789/432 is

LCM of Numerators i.e. for 3902,4789 is 18686678

GCF of denominators i.e. for 398,432 is 2.

Thus, LCM of Fractions is 9343339.Finally, LCM of Fractions for 3902/398, 4789/432 is 9343339.