Least Common Multiple of 368/13, 892/9106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 368/13, 892/9106 quickly i.e. 82064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/13, 892/9106 is 82064.

LCM(368/13, 892/9106) = 82064

LCM of 368/13, 892/9106

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 368/13,892/9106

Given numbers are 368/13,892/9106

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 368,892

Least Common Multiple of Numerators i.e. LCM of 368,892 is 82064.

GCF of Denominators means GCF of 13,9106 as per the given fractions.

GCF of 13,9106 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,892

LCM of Fractions 368/13,892/9106 is 82064

2 368, 892
2 184, 446
92, 223

∴ So the LCM of the given numbers is 2 x 2 x 92 x 223 = 82064

Least Common Multiple of 368,892 with GCF Formula

Least Common Multiple of 368,892 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 368,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,892) = 4

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

GCF(368,892) x common factors =4 x 1 = 4

LCM(368,892) = ( 368 × 892 ) / 4

LCM(368,892) = 328256 / 4

LCM(368,892) = 82064


Lets's calculate GCF of 13,9106

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82064/1

Therefore the LCM of Fractions 368/13,892/9106 is 82064

Greatest Common Factor of 13,9106 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,9106 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 9106

List of positive integer factors of 9106 that divides 9106 without a remainder.

1,2,29,58,157,314,4553,9106

Greatest Common Factor

We found the factors 13,9106 . The biggest common factor number is the GCF number.
So the greatest common factor 13,9106 is 1.


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 368/13, 892/9106

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 368/13, 892/9106?

Answer: LCM of Numerators as per given numbers 368/13, 892/9106 is

LCM of Numerators i.e. for 368,892 is 82064

GCF of denominators i.e. for 13,9106 is 1.

Thus, LCM of Fractions is 82064.Finally, LCM of Fractions for 368/13, 892/9106 is 82064.