Least Common Multiple of 71/82, 199/13, 267/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/82, 199/13, 267/322 quickly i.e. 3772443 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/82, 199/13, 267/322 is 3772443.

LCM(71/82, 199/13, 267/322) = 3772443

LCM of 71/82, 199/13, 267/322

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 71/82,199/13,267/322

Given numbers are 71/82,199/13,267/322

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 71,199,267

Least Common Multiple of Numerators i.e. LCM of 71,199,267 is 3772443.

GCF of Denominators means GCF of 82,13,322 as per the given fractions.

GCF of 82,13,322 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,199,267

LCM of Fractions 71/82,199/13,267/322 is 3772443

Given numbers has no common factors except 1. So, there LCM is their product i.e 3772443

Least Common Multiple of 71,199,267 with GCF Formula

Least Common Multiple of 71,199,267 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 71,199,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,199,267) = 1

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

GCF(71,199,267) x common factors =1 x 1 = 1

LCM(71,199,267) = ( 71 × 199 × 267 ) / 1

LCM(71,199,267) = 3772443 / 1

LCM(71,199,267) = 3772443


Lets's calculate GCF of 82,13,322

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3772443/1

Therefore the LCM of Fractions 71/82,199/13,267/322 is 3772443

Greatest Common Factor of 82,13,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,13,322 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 13

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

1,13

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 82,13,322 . The biggest common factor number is the GCF number.
So the greatest common factor 82,13,322 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 71/82, 199/13, 267/322

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 71/82, 199/13, 267/322?

Answer: LCM of Numerators as per given numbers 71/82, 199/13, 267/322 is

LCM of Numerators i.e. for 71,199,267 is 3772443

GCF of denominators i.e. for 82,13,322 is 1.

Thus, LCM of Fractions is 3772443.Finally, LCM of Fractions for 71/82, 199/13, 267/322 is 3772443.