Least Common Multiple of 560/583, 432/609, 280/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/583, 432/609, 280/789 quickly i.e. 15120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/583, 432/609, 280/789 is 15120.

LCM(560/583, 432/609, 280/789) = 15120

LCM of 560/583, 432/609, 280/789

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 560/583,432/609,280/789

Given numbers are 560/583,432/609,280/789

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 560,432,280

Least Common Multiple of Numerators i.e. LCM of 560,432,280 is 15120.

GCF of Denominators means GCF of 583,609,789 as per the given fractions.

GCF of 583,609,789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,432,280

LCM of Fractions 560/583,432/609,280/789 is 15120

2 560, 432, 280
2 280, 216, 140
2 70, 108, 140
2 35, 54, 70
5 35, 27, 35
7 7, 27, 7
1, 27, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 7 x 1 x 27 x 1 = 15120

Least Common Multiple of 560,432,280 with GCF Formula

Least Common Multiple of 560,432,280 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 560,432,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,432,280) = 8

common factors(in case of two or more numbers have common factors) = 560

GCF(560,432,280) x common factors =8 x 560 = 4480

LCM(560,432,280) = ( 560 × 432 × 280 ) / 4480

LCM(560,432,280) = 67737600 / 4480

LCM(560,432,280) = 15120


Lets's calculate GCF of 583,609,789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15120/1

Therefore the LCM of Fractions 560/583,432/609,280/789 is 15120

Greatest Common Factor of 583,609,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 583,609,789 By Matching Biggest Common Factor Method

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 583,609,789 . The biggest common factor number is the GCF number.
So the greatest common factor 583,609,789 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 560/583, 432/609, 280/789

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 560/583, 432/609, 280/789?

Answer: LCM of Numerators as per given numbers 560/583, 432/609, 280/789 is

LCM of Numerators i.e. for 560,432,280 is 15120

GCF of denominators i.e. for 583,609,789 is 1.

Thus, LCM of Fractions is 15120.Finally, LCM of Fractions for 560/583, 432/609, 280/789 is 15120.