Least Common Multiple of 1/80, 31/824, 14/206

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/80, 31/824, 14/206 quickly i.e. 217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/80, 31/824, 14/206 is 217.

LCM(1/80, 31/824, 14/206) = 217

LCM of 1/80, 31/824, 14/206

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 1/80,31/824,14/206

Given numbers are 1/80,31/824,14/206

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 1,31,14

Least Common Multiple of Numerators i.e. LCM of 1,31,14 is 434.

GCF of Denominators means GCF of 80,824,206 as per the given fractions.

GCF of 80,824,206 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,31,14

LCM of Fractions 1/80,31/824,14/206 is 217

Given numbers has no common factors except 1. So, there LCM is their product i.e 434

Least Common Multiple of 1,31,14 with GCF Formula

Least Common Multiple of 1,31,14 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 1,31,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,31,14) = 1

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

GCF(1,31,14) x common factors =1 x 1 = 1

LCM(1,31,14) = ( 1 × 31 × 14 ) / 1

LCM(1,31,14) = 434 / 1

LCM(1,31,14) = 434


Lets's calculate GCF of 80,824,206

2 80, 824, 206
40, 412, 103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434/2

Therefore the LCM of Fractions 1/80,31/824,14/206 is 217

Greatest Common Factor of 80,824,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,824,206 By Matching Biggest Common Factor Method

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

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 80,824,206 . The biggest common factor number is the GCF number.
So the greatest common factor 80,824,206 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 1/80, 31/824, 14/206

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 1/80, 31/824, 14/206?

Answer: LCM of Numerators as per given numbers 1/80, 31/824, 14/206 is

LCM of Numerators i.e. for 1,31,14 is 434

GCF of denominators i.e. for 80,824,206 is 2.

Thus, LCM of Fractions is 217.Finally, LCM of Fractions for 1/80, 31/824, 14/206 is 217.