Least Common Multiple of 267/76, 447/43, 217/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/76, 447/43, 217/288 quickly i.e. 8632911 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/76, 447/43, 217/288 is 8632911.

LCM(267/76, 447/43, 217/288) = 8632911

LCM of 267/76, 447/43, 217/288

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 267/76,447/43,217/288

Given numbers are 267/76,447/43,217/288

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 267,447,217

Least Common Multiple of Numerators i.e. LCM of 267,447,217 is 8632911.

GCF of Denominators means GCF of 76,43,288 as per the given fractions.

GCF of 76,43,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,447,217

LCM of Fractions 267/76,447/43,217/288 is 8632911

3 267, 447, 217
89, 149, 217

∴ So the LCM of the given numbers is 3 x 89 x 149 x 217 = 8632911

Least Common Multiple of 267,447,217 with GCF Formula

Least Common Multiple of 267,447,217 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 267,447,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,447,217) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(267,447,217) x common factors =1 x 3 = 3

LCM(267,447,217) = ( 267 × 447 × 217 ) / 3

LCM(267,447,217) = 25898733 / 3

LCM(267,447,217) = 8632911


Lets's calculate GCF of 76,43,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8632911/1

Therefore the LCM of Fractions 267/76,447/43,217/288 is 8632911

Greatest Common Factor of 76,43,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,43,288 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 76,43,288 . The biggest common factor number is the GCF number.
So the greatest common factor 76,43,288 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 267/76, 447/43, 217/288

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 267/76, 447/43, 217/288?

Answer: LCM of Numerators as per given numbers 267/76, 447/43, 217/288 is

LCM of Numerators i.e. for 267,447,217 is 8632911

GCF of denominators i.e. for 76,43,288 is 1.

Thus, LCM of Fractions is 8632911.Finally, LCM of Fractions for 267/76, 447/43, 217/288 is 8632911.