Least Common Multiple of 109/27, 633/1283

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 109/27, 633/1283 quickly i.e. 68997 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/27, 633/1283 is 68997.

LCM(109/27, 633/1283) = 68997

LCM of 109/27, 633/1283

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 109/27,633/1283

Given numbers are 109/27,633/1283

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 109,633

Least Common Multiple of Numerators i.e. LCM of 109,633 is 68997.

GCF of Denominators means GCF of 27,1283 as per the given fractions.

GCF of 27,1283 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,633

LCM of Fractions 109/27,633/1283 is 68997

Given numbers has no common factors except 1. So, there LCM is their product i.e 68997

Least Common Multiple of 109,633 with GCF Formula

Least Common Multiple of 109,633 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 109,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,633) = 1

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

GCF(109,633) x common factors =1 x 1 = 1

LCM(109,633) = ( 109 × 633 ) / 1

LCM(109,633) = 68997 / 1

LCM(109,633) = 68997


Lets's calculate GCF of 27,1283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68997/1

Therefore the LCM of Fractions 109/27,633/1283 is 68997

Greatest Common Factor of 27,1283 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,1283 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 1283

List of positive integer factors of 1283 that divides 1283 without a remainder.

1,1283

Greatest Common Factor

We found the factors 27,1283 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1283 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 109/27, 633/1283

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 109/27, 633/1283?

Answer: LCM of Numerators as per given numbers 109/27, 633/1283 is

LCM of Numerators i.e. for 109,633 is 68997

GCF of denominators i.e. for 27,1283 is 1.

Thus, LCM of Fractions is 68997.Finally, LCM of Fractions for 109/27, 633/1283 is 68997.