Least Common Multiple of 27/783, 1817/7648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/783, 1817/7648 quickly i.e. 49059 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/783, 1817/7648 is 49059.

LCM(27/783, 1817/7648) = 49059

LCM of 27/783, 1817/7648

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 27/783,1817/7648

Given numbers are 27/783,1817/7648

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 27,1817

Least Common Multiple of Numerators i.e. LCM of 27,1817 is 49059.

GCF of Denominators means GCF of 783,7648 as per the given fractions.

GCF of 783,7648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,1817

LCM of Fractions 27/783,1817/7648 is 49059

Given numbers has no common factors except 1. So, there LCM is their product i.e 49059

Least Common Multiple of 27,1817 with GCF Formula

Least Common Multiple of 27,1817 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 27,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,1817) = 1

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

GCF(27,1817) x common factors =1 x 1 = 1

LCM(27,1817) = ( 27 × 1817 ) / 1

LCM(27,1817) = 49059 / 1

LCM(27,1817) = 49059


Lets's calculate GCF of 783,7648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49059/1

Therefore the LCM of Fractions 27/783,1817/7648 is 49059

Greatest Common Factor of 783,7648 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,7648 By Matching Biggest Common Factor Method

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1,2,4,8,16,32,239,478,956,1912,3824,7648

Greatest Common Factor

We found the factors 783,7648 . The biggest common factor number is the GCF number.
So the greatest common factor 783,7648 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 27/783, 1817/7648

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 27/783, 1817/7648?

Answer: LCM of Numerators as per given numbers 27/783, 1817/7648 is

LCM of Numerators i.e. for 27,1817 is 49059

GCF of denominators i.e. for 783,7648 is 1.

Thus, LCM of Fractions is 49059.Finally, LCM of Fractions for 27/783, 1817/7648 is 49059.