Least Common Multiple of 17/80, 31/82, 50/14, 55/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/80, 31/82, 50/14, 55/618 quickly i.e. 144925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/80, 31/82, 50/14, 55/618 is 144925.

LCM(17/80, 31/82, 50/14, 55/618) = 144925

LCM of 17/80, 31/82, 50/14, 55/618

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 17/80,31/82,50/14,55/618

Given numbers are 17/80,31/82,50/14,55/618

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 17,31,50,55

Least Common Multiple of Numerators i.e. LCM of 17,31,50,55 is 289850.

GCF of Denominators means GCF of 80,82,14,618 as per the given fractions.

GCF of 80,82,14,618 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,31,50,55

LCM of Fractions 17/80,31/82,50/14,55/618 is 144925

5 17, 31, 50, 55
17, 31, 10, 11

∴ So the LCM of the given numbers is 5 x 17 x 31 x 10 x 11 = 289850

Least Common Multiple of 17,31,50,55 with GCF Formula

Least Common Multiple of 17,31,50,55 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 17,31,50,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,31,50,55) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(17,31,50,55) x common factors =1 x 5 = 5

LCM(17,31,50,55) = ( 17 × 31 × 50 × 55 ) / 5

LCM(17,31,50,55) = 1449250 / 5

LCM(17,31,50,55) = 289850


Lets's calculate GCF of 80,82,14,618

2 80, 82, 14, 618
40, 41, 7, 309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 289850/2

Therefore the LCM of Fractions 17/80,31/82,50/14,55/618 is 144925

Greatest Common Factor of 80,82,14,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,82,14,618 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 80,82,14,618 . The biggest common factor number is the GCF number.
So the greatest common factor 80,82,14,618 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 17/80, 31/82, 50/14, 55/618

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 17/80, 31/82, 50/14, 55/618?

Answer: LCM of Numerators as per given numbers 17/80, 31/82, 50/14, 55/618 is

LCM of Numerators i.e. for 17,31,50,55 is 289850

GCF of denominators i.e. for 80,82,14,618 is 2.

Thus, LCM of Fractions is 144925.Finally, LCM of Fractions for 17/80, 31/82, 50/14, 55/618 is 144925.