Least Common Multiple of 814/36, 100/8938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/36, 100/8938 quickly i.e. 20350 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, 100/8938 is 20350.

LCM(814/36, 100/8938) = 20350

LCM of 814/36, 100/8938

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 814/36,100/8938

Given numbers are 814/36,100/8938

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 814,100

Least Common Multiple of Numerators i.e. LCM of 814,100 is 40700.

GCF of Denominators means GCF of 36,8938 as per the given fractions.

GCF of 36,8938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,100

LCM of Fractions 814/36,100/8938 is 20350

2 814, 100
407, 50

∴ So the LCM of the given numbers is 2 x 407 x 50 = 40700

Least Common Multiple of 814,100 with GCF Formula

Least Common Multiple of 814,100 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 814,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,100) = 2

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

GCF(814,100) x common factors =2 x 1 = 2

LCM(814,100) = ( 814 × 100 ) / 2

LCM(814,100) = 81400 / 2

LCM(814,100) = 40700


Lets's calculate GCF of 36,8938

2 36, 8938
18, 4469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40700/2

Therefore the LCM of Fractions 814/36,100/8938 is 20350

Greatest Common Factor of 36,8938 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,8938 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 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1,2,41,82,109,218,4469,8938

Greatest Common Factor

We found the factors 36,8938 . The biggest common factor number is the GCF number.
So the greatest common factor 36,8938 is 2.


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, 100/8938

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, 100/8938?

Answer: LCM of Numerators as per given numbers 814/36, 100/8938 is

LCM of Numerators i.e. for 814,100 is 40700

GCF of denominators i.e. for 36,8938 is 2.

Thus, LCM of Fractions is 20350.Finally, LCM of Fractions for 814/36, 100/8938 is 20350.