Least Common Multiple of 7827/783, 8414/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7827/783, 8414/303 quickly i.e. 21952126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7827/783, 8414/303 is 21952126.

LCM(7827/783, 8414/303) = 21952126

LCM of 7827/783, 8414/303

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 7827/783,8414/303

Given numbers are 7827/783,8414/303

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 7827,8414

Least Common Multiple of Numerators i.e. LCM of 7827,8414 is 65856378.

GCF of Denominators means GCF of 783,303 as per the given fractions.

GCF of 783,303 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7827,8414

LCM of Fractions 7827/783,8414/303 is 21952126

Given numbers has no common factors except 1. So, there LCM is their product i.e 65856378

Least Common Multiple of 7827,8414 with GCF Formula

Least Common Multiple of 7827,8414 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 7827,8414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7827,8414) = 1

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

GCF(7827,8414) x common factors =1 x 1 = 1

LCM(7827,8414) = ( 7827 × 8414 ) / 1

LCM(7827,8414) = 65856378 / 1

LCM(7827,8414) = 65856378


Lets's calculate GCF of 783,303

3 783, 303
261, 101

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65856378/3

Therefore the LCM of Fractions 7827/783,8414/303 is 21952126

Greatest Common Factor of 783,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,303 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 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 783,303 . The biggest common factor number is the GCF number.
So the greatest common factor 783,303 is 3.


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 7827/783, 8414/303

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 7827/783, 8414/303?

Answer: LCM of Numerators as per given numbers 7827/783, 8414/303 is

LCM of Numerators i.e. for 7827,8414 is 65856378

GCF of denominators i.e. for 783,303 is 3.

Thus, LCM of Fractions is 21952126.Finally, LCM of Fractions for 7827/783, 8414/303 is 21952126.