Least Common Multiple of 27/846, 8488/7023

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/846, 8488/7023 quickly i.e. 76392 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/846, 8488/7023 is 76392.

LCM(27/846, 8488/7023) = 76392

LCM of 27/846, 8488/7023

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 27/846,8488/7023

Given numbers are 27/846,8488/7023

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 27,8488

Least Common Multiple of Numerators i.e. LCM of 27,8488 is 229176.

GCF of Denominators means GCF of 846,7023 as per the given fractions.

GCF of 846,7023 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,8488

LCM of Fractions 27/846,8488/7023 is 76392

Given numbers has no common factors except 1. So, there LCM is their product i.e 229176

Least Common Multiple of 27,8488 with GCF Formula

Least Common Multiple of 27,8488 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 27,8488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,8488) = 1

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

GCF(27,8488) x common factors =1 x 1 = 1

LCM(27,8488) = ( 27 × 8488 ) / 1

LCM(27,8488) = 229176 / 1

LCM(27,8488) = 229176


Lets's calculate GCF of 846,7023

3 846, 7023
282, 2341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229176/3

Therefore the LCM of Fractions 27/846,8488/7023 is 76392

Greatest Common Factor of 846,7023 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,7023 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 7023

List of positive integer factors of 7023 that divides 7023 without a remainder.

1,3,2341,7023

Greatest Common Factor

We found the factors 846,7023 . The biggest common factor number is the GCF number.
So the greatest common factor 846,7023 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 27/846, 8488/7023

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 27/846, 8488/7023?

Answer: LCM of Numerators as per given numbers 27/846, 8488/7023 is

LCM of Numerators i.e. for 27,8488 is 229176

GCF of denominators i.e. for 846,7023 is 3.

Thus, LCM of Fractions is 76392.Finally, LCM of Fractions for 27/846, 8488/7023 is 76392.