Least Common Multiple of 814/36, 399/9008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/36, 399/9008 quickly i.e. 324786/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/36, 399/9008 is 324786/4.

LCM(814/36, 399/9008) = 324786/4

LCM of 814/36, 399/9008

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 814/36,399/9008

Given numbers are 814/36,399/9008

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 814,399

Least Common Multiple of Numerators i.e. LCM of 814,399 is 324786.

GCF of Denominators means GCF of 36,9008 as per the given fractions.

GCF of 36,9008 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,399

LCM of Fractions 814/36,399/9008 is 324786/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 324786

Least Common Multiple of 814,399 with GCF Formula

Least Common Multiple of 814,399 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 814,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,399) = 1

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

GCF(814,399) x common factors =1 x 1 = 1

LCM(814,399) = ( 814 × 399 ) / 1

LCM(814,399) = 324786 / 1

LCM(814,399) = 324786


Lets's calculate GCF of 36,9008

2 36, 9008
2 18, 4504
9, 2252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324786/4

Therefore the LCM of Fractions 814/36,399/9008 is 324786/4

Greatest Common Factor of 36,9008 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,9008 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 9008

List of positive integer factors of 9008 that divides 9008 without a remainder.

1,2,4,8,16,563,1126,2252,4504,9008

Greatest Common Factor

We found the factors 36,9008 . The biggest common factor number is the GCF number.
So the greatest common factor 36,9008 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 814/36, 399/9008

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 814/36, 399/9008?

Answer: LCM of Numerators as per given numbers 814/36, 399/9008 is

LCM of Numerators i.e. for 814,399 is 324786

GCF of denominators i.e. for 36,9008 is 4.

Thus, LCM of Fractions is 324786/4.Finally, LCM of Fractions for 814/36, 399/9008 is 324786/4.