Least Common Multiple of 80/313, 315/502, 257/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/313, 315/502, 257/481 quickly i.e. 1295280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/313, 315/502, 257/481 is 1295280.

LCM(80/313, 315/502, 257/481) = 1295280

LCM of 80/313, 315/502, 257/481

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 80/313,315/502,257/481

Given numbers are 80/313,315/502,257/481

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 80,315,257

Least Common Multiple of Numerators i.e. LCM of 80,315,257 is 1295280.

GCF of Denominators means GCF of 313,502,481 as per the given fractions.

GCF of 313,502,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,315,257

LCM of Fractions 80/313,315/502,257/481 is 1295280

5 80, 315, 257
16, 63, 257

∴ So the LCM of the given numbers is 5 x 16 x 63 x 257 = 1295280

Least Common Multiple of 80,315,257 with GCF Formula

Least Common Multiple of 80,315,257 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 80,315,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,315,257) = 1

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

GCF(80,315,257) x common factors =1 x 5 = 5

LCM(80,315,257) = ( 80 × 315 × 257 ) / 5

LCM(80,315,257) = 6476400 / 5

LCM(80,315,257) = 1295280


Lets's calculate GCF of 313,502,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1295280/1

Therefore the LCM of Fractions 80/313,315/502,257/481 is 1295280

Greatest Common Factor of 313,502,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,502,481 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Greatest Common Factor

We found the factors 313,502,481 . The biggest common factor number is the GCF number.
So the greatest common factor 313,502,481 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 80/313, 315/502, 257/481

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 80/313, 315/502, 257/481?

Answer: LCM of Numerators as per given numbers 80/313, 315/502, 257/481 is

LCM of Numerators i.e. for 80,315,257 is 1295280

GCF of denominators i.e. for 313,502,481 is 1.

Thus, LCM of Fractions is 1295280.Finally, LCM of Fractions for 80/313, 315/502, 257/481 is 1295280.