Least Common Multiple of 568/80, 399/69, 355/560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 568/80, 399/69, 355/560 quickly i.e. 1133160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 568/80, 399/69, 355/560 is 1133160.

LCM(568/80, 399/69, 355/560) = 1133160

LCM of 568/80, 399/69, 355/560

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 568/80,399/69,355/560

Given numbers are 568/80,399/69,355/560

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 568,399,355

Least Common Multiple of Numerators i.e. LCM of 568,399,355 is 1133160.

GCF of Denominators means GCF of 80,69,560 as per the given fractions.

GCF of 80,69,560 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 568,399,355

LCM of Fractions 568/80,399/69,355/560 is 1133160

71 568, 399, 355
8, 399, 5

∴ So the LCM of the given numbers is 71 x 8 x 399 x 5 = 1133160

Least Common Multiple of 568,399,355 with GCF Formula

Least Common Multiple of 568,399,355 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 568,399,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,399,355) = 1

common factors(in case of two or more numbers have common factors) = 71

GCF(568,399,355) x common factors =1 x 71 = 71

LCM(568,399,355) = ( 568 × 399 × 355 ) / 71

LCM(568,399,355) = 80454360 / 71

LCM(568,399,355) = 1133160


Lets's calculate GCF of 80,69,560

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1133160/1

Therefore the LCM of Fractions 568/80,399/69,355/560 is 1133160

Greatest Common Factor of 80,69,560 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,69,560 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 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Greatest Common Factor

We found the factors 80,69,560 . The biggest common factor number is the GCF number.
So the greatest common factor 80,69,560 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 568/80, 399/69, 355/560

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 568/80, 399/69, 355/560?

Answer: LCM of Numerators as per given numbers 568/80, 399/69, 355/560 is

LCM of Numerators i.e. for 568,399,355 is 1133160

GCF of denominators i.e. for 80,69,560 is 1.

Thus, LCM of Fractions is 1133160.Finally, LCM of Fractions for 568/80, 399/69, 355/560 is 1133160.