Least Common Multiple of 267/34, 104/1647

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 267/34, 104/1647 quickly i.e. 27768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 267/34, 104/1647 is 27768.

LCM(267/34, 104/1647) = 27768

LCM of 267/34, 104/1647

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 267/34,104/1647

Given numbers are 267/34,104/1647

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 267,104

Least Common Multiple of Numerators i.e. LCM of 267,104 is 27768.

GCF of Denominators means GCF of 34,1647 as per the given fractions.

GCF of 34,1647 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 267,104

LCM of Fractions 267/34,104/1647 is 27768

Given numbers has no common factors except 1. So, there LCM is their product i.e 27768

Least Common Multiple of 267,104 with GCF Formula

Least Common Multiple of 267,104 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 267,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(267,104) = 1

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

GCF(267,104) x common factors =1 x 1 = 1

LCM(267,104) = ( 267 × 104 ) / 1

LCM(267,104) = 27768 / 1

LCM(267,104) = 27768


Lets's calculate GCF of 34,1647

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27768/1

Therefore the LCM of Fractions 267/34,104/1647 is 27768

Greatest Common Factor of 34,1647 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,1647 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 1647

List of positive integer factors of 1647 that divides 1647 without a remainder.

1,3,9,27,61,183,549,1647

Greatest Common Factor

We found the factors 34,1647 . The biggest common factor number is the GCF number.
So the greatest common factor 34,1647 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 267/34, 104/1647

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 267/34, 104/1647?

Answer: LCM of Numerators as per given numbers 267/34, 104/1647 is

LCM of Numerators i.e. for 267,104 is 27768

GCF of denominators i.e. for 34,1647 is 1.

Thus, LCM of Fractions is 27768.Finally, LCM of Fractions for 267/34, 104/1647 is 27768.