Least Common Multiple of 41/209, 746/341, 892/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/209, 746/341, 892/341 quickly i.e. 13641356/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/209, 746/341, 892/341 is 13641356/11.

LCM(41/209, 746/341, 892/341) = 13641356/11

LCM of 41/209, 746/341, 892/341

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 41/209,746/341,892/341

Given numbers are 41/209,746/341,892/341

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 41,746,892

Least Common Multiple of Numerators i.e. LCM of 41,746,892 is 13641356.

GCF of Denominators means GCF of 209,341,341 as per the given fractions.

GCF of 209,341,341 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,746,892

LCM of Fractions 41/209,746/341,892/341 is 13641356/11

2 41, 746, 892
41, 373, 446

∴ So the LCM of the given numbers is 2 x 41 x 373 x 446 = 13641356

Least Common Multiple of 41,746,892 with GCF Formula

Least Common Multiple of 41,746,892 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 41,746,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,746,892) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,746,892) x common factors =1 x 2 = 2

LCM(41,746,892) = ( 41 × 746 × 892 ) / 2

LCM(41,746,892) = 27282712 / 2

LCM(41,746,892) = 13641356


Lets's calculate GCF of 209,341,341

11 209, 341, 341
19, 31, 31

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13641356/11

Therefore the LCM of Fractions 41/209,746/341,892/341 is 13641356/11

Greatest Common Factor of 209,341,341 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,341,341 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Factors of 341

List of positive integer factors of 341 that divides 341 without a remainder.

1,11,31,341

Greatest Common Factor

We found the factors 209,341,341 . The biggest common factor number is the GCF number.
So the greatest common factor 209,341,341 is 11.


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 41/209, 746/341, 892/341

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 41/209, 746/341, 892/341?

Answer: LCM of Numerators as per given numbers 41/209, 746/341, 892/341 is

LCM of Numerators i.e. for 41,746,892 is 13641356

GCF of denominators i.e. for 209,341,341 is 11.

Thus, LCM of Fractions is 13641356/11.Finally, LCM of Fractions for 41/209, 746/341, 892/341 is 13641356/11.