Least Common Multiple of 560/293, 630/299, 918/481

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/293, 630/299, 918/481 quickly i.e. 257040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/293, 630/299, 918/481 is 257040.

LCM(560/293, 630/299, 918/481) = 257040

LCM of 560/293, 630/299, 918/481

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 560/293,630/299,918/481

Given numbers are 560/293,630/299,918/481

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 560,630,918

Least Common Multiple of Numerators i.e. LCM of 560,630,918 is 257040.

GCF of Denominators means GCF of 293,299,481 as per the given fractions.

GCF of 293,299,481 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,630,918

LCM of Fractions 560/293,630/299,918/481 is 257040

2 560, 630, 918
3 280, 315, 459
3 280, 105, 153
5 280, 35, 51
7 56, 7, 51
8, 1, 51

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 8 x 1 x 51 = 257040

Least Common Multiple of 560,630,918 with GCF Formula

Least Common Multiple of 560,630,918 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 560,630,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,630,918) = 2

common factors(in case of two or more numbers have common factors) = 630

GCF(560,630,918) x common factors =2 x 630 = 1260

LCM(560,630,918) = ( 560 × 630 × 918 ) / 1260

LCM(560,630,918) = 323870400 / 1260

LCM(560,630,918) = 257040


Lets's calculate GCF of 293,299,481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 257040/1

Therefore the LCM of Fractions 560/293,630/299,918/481 is 257040

Greatest Common Factor of 293,299,481 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,299,481 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

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 293,299,481 . The biggest common factor number is the GCF number.
So the greatest common factor 293,299,481 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 560/293, 630/299, 918/481

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 560/293, 630/299, 918/481?

Answer: LCM of Numerators as per given numbers 560/293, 630/299, 918/481 is

LCM of Numerators i.e. for 560,630,918 is 257040

GCF of denominators i.e. for 293,299,481 is 1.

Thus, LCM of Fractions is 257040.Finally, LCM of Fractions for 560/293, 630/299, 918/481 is 257040.