Least Common Multiple of 317/15, 980/54, 214/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/15, 980/54, 214/139 quickly i.e. 33240620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/15, 980/54, 214/139 is 33240620.

LCM(317/15, 980/54, 214/139) = 33240620

LCM of 317/15, 980/54, 214/139

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 317/15,980/54,214/139

Given numbers are 317/15,980/54,214/139

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 317,980,214

Least Common Multiple of Numerators i.e. LCM of 317,980,214 is 33240620.

GCF of Denominators means GCF of 15,54,139 as per the given fractions.

GCF of 15,54,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,980,214

LCM of Fractions 317/15,980/54,214/139 is 33240620

2 317, 980, 214
317, 490, 107

∴ So the LCM of the given numbers is 2 x 317 x 490 x 107 = 33240620

Least Common Multiple of 317,980,214 with GCF Formula

Least Common Multiple of 317,980,214 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 317,980,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,980,214) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(317,980,214) x common factors =1 x 2 = 2

LCM(317,980,214) = ( 317 × 980 × 214 ) / 2

LCM(317,980,214) = 66481240 / 2

LCM(317,980,214) = 33240620


Lets's calculate GCF of 15,54,139

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33240620/1

Therefore the LCM of Fractions 317/15,980/54,214/139 is 33240620

Greatest Common Factor of 15,54,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,54,139 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 15,54,139 . The biggest common factor number is the GCF number.
So the greatest common factor 15,54,139 is 1.


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 317/15, 980/54, 214/139

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 317/15, 980/54, 214/139?

Answer: LCM of Numerators as per given numbers 317/15, 980/54, 214/139 is

LCM of Numerators i.e. for 317,980,214 is 33240620

GCF of denominators i.e. for 15,54,139 is 1.

Thus, LCM of Fractions is 33240620.Finally, LCM of Fractions for 317/15, 980/54, 214/139 is 33240620.