Least Common Multiple of 3638/836, 3104/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3638/836, 3104/592 quickly i.e. 1411544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3638/836, 3104/592 is 1411544.

LCM(3638/836, 3104/592) = 1411544

LCM of 3638/836, 3104/592

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 3638/836,3104/592

Given numbers are 3638/836,3104/592

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 3638,3104

Least Common Multiple of Numerators i.e. LCM of 3638,3104 is 5646176.

GCF of Denominators means GCF of 836,592 as per the given fractions.

GCF of 836,592 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3638,3104

LCM of Fractions 3638/836,3104/592 is 1411544

2 3638, 3104
1819, 1552

∴ So the LCM of the given numbers is 2 x 1819 x 1552 = 5646176

Least Common Multiple of 3638,3104 with GCF Formula

Least Common Multiple of 3638,3104 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 3638,3104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3638,3104) = 2

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

GCF(3638,3104) x common factors =2 x 1 = 2

LCM(3638,3104) = ( 3638 × 3104 ) / 2

LCM(3638,3104) = 11292352 / 2

LCM(3638,3104) = 5646176


Lets's calculate GCF of 836,592

2 836, 592
2 418, 296
209, 148

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5646176/4

Therefore the LCM of Fractions 3638/836,3104/592 is 1411544

Greatest Common Factor of 836,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,592 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 836,592 . The biggest common factor number is the GCF number.
So the greatest common factor 836,592 is 4.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 3638/836, 3104/592

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 3638/836, 3104/592?

Answer: LCM of Numerators as per given numbers 3638/836, 3104/592 is

LCM of Numerators i.e. for 3638,3104 is 5646176

GCF of denominators i.e. for 836,592 is 4.

Thus, LCM of Fractions is 1411544.Finally, LCM of Fractions for 3638/836, 3104/592 is 1411544.