Least Common Multiple of 116/18, 314/38, 800/80

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 116/18, 314/38, 800/80 quickly i.e. 1821200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 116/18, 314/38, 800/80 is 1821200.

LCM(116/18, 314/38, 800/80) = 1821200

LCM of 116/18, 314/38, 800/80

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 116/18,314/38,800/80

Given numbers are 116/18,314/38,800/80

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 116,314,800

Least Common Multiple of Numerators i.e. LCM of 116,314,800 is 3642400.

GCF of Denominators means GCF of 18,38,80 as per the given fractions.

GCF of 18,38,80 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 116,314,800

LCM of Fractions 116/18,314/38,800/80 is 1821200

2 116, 314, 800
2 58, 157, 400
29, 157, 200

∴ So the LCM of the given numbers is 2 x 2 x 29 x 157 x 200 = 3642400

Least Common Multiple of 116,314,800 with GCF Formula

Least Common Multiple of 116,314,800 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 116,314,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(116,314,800) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(116,314,800) x common factors =2 x 4 = 8

LCM(116,314,800) = ( 116 × 314 × 800 ) / 8

LCM(116,314,800) = 29139200 / 8

LCM(116,314,800) = 3642400


Lets's calculate GCF of 18,38,80

2 18, 38, 80
9, 19, 40

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3642400/2

Therefore the LCM of Fractions 116/18,314/38,800/80 is 1821200

Greatest Common Factor of 18,38,80 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,38,80 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Greatest Common Factor

We found the factors 18,38,80 . The biggest common factor number is the GCF number.
So the greatest common factor 18,38,80 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 116/18, 314/38, 800/80

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 116/18, 314/38, 800/80?

Answer: LCM of Numerators as per given numbers 116/18, 314/38, 800/80 is

LCM of Numerators i.e. for 116,314,800 is 3642400

GCF of denominators i.e. for 18,38,80 is 2.

Thus, LCM of Fractions is 1821200.Finally, LCM of Fractions for 116/18, 314/38, 800/80 is 1821200.