Least Common Multiple of 2104/638, 6396/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2104/638, 6396/332 quickly i.e. 1682148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2104/638, 6396/332 is 1682148.

LCM(2104/638, 6396/332) = 1682148

LCM of 2104/638, 6396/332

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 2104/638,6396/332

Given numbers are 2104/638,6396/332

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 2104,6396

Least Common Multiple of Numerators i.e. LCM of 2104,6396 is 3364296.

GCF of Denominators means GCF of 638,332 as per the given fractions.

GCF of 638,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2104,6396

LCM of Fractions 2104/638,6396/332 is 1682148

2 2104, 6396
2 1052, 3198
526, 1599

∴ So the LCM of the given numbers is 2 x 2 x 526 x 1599 = 3364296

Least Common Multiple of 2104,6396 with GCF Formula

Least Common Multiple of 2104,6396 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 2104,6396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2104,6396) = 4

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

GCF(2104,6396) x common factors =4 x 1 = 4

LCM(2104,6396) = ( 2104 × 6396 ) / 4

LCM(2104,6396) = 13457184 / 4

LCM(2104,6396) = 3364296


Lets's calculate GCF of 638,332

2 638, 332
319, 166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3364296/2

Therefore the LCM of Fractions 2104/638,6396/332 is 1682148

Greatest Common Factor of 638,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,332 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 638,332 . The biggest common factor number is the GCF number.
So the greatest common factor 638,332 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2104/638, 6396/332

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 2104/638, 6396/332?

Answer: LCM of Numerators as per given numbers 2104/638, 6396/332 is

LCM of Numerators i.e. for 2104,6396 is 3364296

GCF of denominators i.e. for 638,332 is 2.

Thus, LCM of Fractions is 1682148.Finally, LCM of Fractions for 2104/638, 6396/332 is 1682148.