Least Common Multiple of 27/408, 9825/8356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/408, 9825/8356 quickly i.e. 88425/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/408, 9825/8356 is 88425/4.

LCM(27/408, 9825/8356) = 88425/4

LCM of 27/408, 9825/8356

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 27/408,9825/8356

Given numbers are 27/408,9825/8356

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 27,9825

Least Common Multiple of Numerators i.e. LCM of 27,9825 is 88425.

GCF of Denominators means GCF of 408,8356 as per the given fractions.

GCF of 408,8356 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,9825

LCM of Fractions 27/408,9825/8356 is 88425/4

3 27, 9825
9, 3275

∴ So the LCM of the given numbers is 3 x 9 x 3275 = 88425

Least Common Multiple of 27,9825 with GCF Formula

Least Common Multiple of 27,9825 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 27,9825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,9825) = 3

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

GCF(27,9825) x common factors =3 x 1 = 3

LCM(27,9825) = ( 27 × 9825 ) / 3

LCM(27,9825) = 265275 / 3

LCM(27,9825) = 88425


Lets's calculate GCF of 408,8356

2 408, 8356
2 204, 4178
102, 2089

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88425/4

Therefore the LCM of Fractions 27/408,9825/8356 is 88425/4

Greatest Common Factor of 408,8356 By Matching Biggest Common Factor Method

Greatest Common Factor of 408,8356 By Matching Biggest Common Factor Method

Factors of 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 8356

List of positive integer factors of 8356 that divides 8356 without a remainder.

1,2,4,2089,4178,8356

Greatest Common Factor

We found the factors 408,8356 . The biggest common factor number is the GCF number.
So the greatest common factor 408,8356 is 4.


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 27/408, 9825/8356

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 27/408, 9825/8356?

Answer: LCM of Numerators as per given numbers 27/408, 9825/8356 is

LCM of Numerators i.e. for 27,9825 is 88425

GCF of denominators i.e. for 408,8356 is 4.

Thus, LCM of Fractions is 88425/4.Finally, LCM of Fractions for 27/408, 9825/8356 is 88425/4.