Least Common Multiple of 560/17, 609/7869

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 560/17, 609/7869 quickly i.e. 48720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 560/17, 609/7869 is 48720.

LCM(560/17, 609/7869) = 48720

LCM of 560/17, 609/7869

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 560/17,609/7869

Given numbers are 560/17,609/7869

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 560,609

Least Common Multiple of Numerators i.e. LCM of 560,609 is 48720.

GCF of Denominators means GCF of 17,7869 as per the given fractions.

GCF of 17,7869 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 560,609

LCM of Fractions 560/17,609/7869 is 48720

7 560, 609
80, 87

∴ So the LCM of the given numbers is 7 x 80 x 87 = 48720

Least Common Multiple of 560,609 with GCF Formula

Least Common Multiple of 560,609 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 560,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(560,609) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(560,609) x common factors =7 x 1 = 7

LCM(560,609) = ( 560 × 609 ) / 7

LCM(560,609) = 341040 / 7

LCM(560,609) = 48720


Lets's calculate GCF of 17,7869

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48720/1

Therefore the LCM of Fractions 560/17,609/7869 is 48720

Greatest Common Factor of 17,7869 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,7869 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 7869

List of positive integer factors of 7869 that divides 7869 without a remainder.

1,3,43,61,129,183,2623,7869

Greatest Common Factor

We found the factors 17,7869 . The biggest common factor number is the GCF number.
So the greatest common factor 17,7869 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 560/17, 609/7869

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 560/17, 609/7869?

Answer: LCM of Numerators as per given numbers 560/17, 609/7869 is

LCM of Numerators i.e. for 560,609 is 48720

GCF of denominators i.e. for 17,7869 is 1.

Thus, LCM of Fractions is 48720.Finally, LCM of Fractions for 560/17, 609/7869 is 48720.