Least Common Multiple of 11/80, 902/82, 429/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/80, 902/82, 429/418 quickly i.e. 17589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/80, 902/82, 429/418 is 17589.

LCM(11/80, 902/82, 429/418) = 17589

LCM of 11/80, 902/82, 429/418

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 11/80,902/82,429/418

Given numbers are 11/80,902/82,429/418

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 11,902,429

Least Common Multiple of Numerators i.e. LCM of 11,902,429 is 35178.

GCF of Denominators means GCF of 80,82,418 as per the given fractions.

GCF of 80,82,418 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,902,429

LCM of Fractions 11/80,902/82,429/418 is 17589

11 11, 902, 429
1, 82, 39

∴ So the LCM of the given numbers is 11 x 1 x 82 x 39 = 35178

Least Common Multiple of 11,902,429 with GCF Formula

Least Common Multiple of 11,902,429 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 11,902,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,902,429) = 11

common factors(in case of two or more numbers have common factors) = 11

GCF(11,902,429) x common factors =11 x 11 = 121

LCM(11,902,429) = ( 11 × 902 × 429 ) / 121

LCM(11,902,429) = 4256538 / 121

LCM(11,902,429) = 35178


Lets's calculate GCF of 80,82,418

2 80, 82, 418
40, 41, 209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35178/2

Therefore the LCM of Fractions 11/80,902/82,429/418 is 17589

Greatest Common Factor of 80,82,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,82,418 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 80,82,418 . The biggest common factor number is the GCF number.
So the greatest common factor 80,82,418 is 2.


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 11/80, 902/82, 429/418

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 11/80, 902/82, 429/418?

Answer: LCM of Numerators as per given numbers 11/80, 902/82, 429/418 is

LCM of Numerators i.e. for 11,902,429 is 35178

GCF of denominators i.e. for 80,82,418 is 2.

Thus, LCM of Fractions is 17589.Finally, LCM of Fractions for 11/80, 902/82, 429/418 is 17589.