Least Common Multiple of 267/863, 466/419, 328/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/863, 466/419, 328/409 quickly i.e. 20405208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/863, 466/419, 328/409 is 20405208.

LCM(267/863, 466/419, 328/409) = 20405208

LCM of 267/863, 466/419, 328/409

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 267/863,466/419,328/409

Given numbers are 267/863,466/419,328/409

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 267,466,328

Least Common Multiple of Numerators i.e. LCM of 267,466,328 is 20405208.

GCF of Denominators means GCF of 863,419,409 as per the given fractions.

GCF of 863,419,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,466,328

LCM of Fractions 267/863,466/419,328/409 is 20405208

2 267, 466, 328
267, 233, 164

∴ So the LCM of the given numbers is 2 x 267 x 233 x 164 = 20405208

Least Common Multiple of 267,466,328 with GCF Formula

Least Common Multiple of 267,466,328 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 267,466,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,466,328) = 1

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

GCF(267,466,328) x common factors =1 x 2 = 2

LCM(267,466,328) = ( 267 × 466 × 328 ) / 2

LCM(267,466,328) = 40810416 / 2

LCM(267,466,328) = 20405208


Lets's calculate GCF of 863,419,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20405208/1

Therefore the LCM of Fractions 267/863,466/419,328/409 is 20405208

Greatest Common Factor of 863,419,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,419,409 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 863,419,409 . The biggest common factor number is the GCF number.
So the greatest common factor 863,419,409 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 267/863, 466/419, 328/409

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 267/863, 466/419, 328/409?

Answer: LCM of Numerators as per given numbers 267/863, 466/419, 328/409 is

LCM of Numerators i.e. for 267,466,328 is 20405208

GCF of denominators i.e. for 863,419,409 is 1.

Thus, LCM of Fractions is 20405208.Finally, LCM of Fractions for 267/863, 466/419, 328/409 is 20405208.