Least Common Multiple of 1592/580, 3330/7800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1592/580, 3330/7800 quickly i.e. 132534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1592/580, 3330/7800 is 132534.

LCM(1592/580, 3330/7800) = 132534

LCM of 1592/580, 3330/7800

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 1592/580,3330/7800

Given numbers are 1592/580,3330/7800

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 1592,3330

Least Common Multiple of Numerators i.e. LCM of 1592,3330 is 2650680.

GCF of Denominators means GCF of 580,7800 as per the given fractions.

GCF of 580,7800 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1592,3330

LCM of Fractions 1592/580,3330/7800 is 132534

2 1592, 3330
796, 1665

∴ So the LCM of the given numbers is 2 x 796 x 1665 = 2650680

Least Common Multiple of 1592,3330 with GCF Formula

Least Common Multiple of 1592,3330 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 1592,3330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1592,3330) = 2

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

GCF(1592,3330) x common factors =2 x 1 = 2

LCM(1592,3330) = ( 1592 × 3330 ) / 2

LCM(1592,3330) = 5301360 / 2

LCM(1592,3330) = 2650680


Lets's calculate GCF of 580,7800

2 580, 7800
2 290, 3900
5 145, 1950
29, 390

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2650680/20

Therefore the LCM of Fractions 1592/580,3330/7800 is 132534

Greatest Common Factor of 580,7800 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,7800 By Matching Biggest Common Factor Method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 7800

List of positive integer factors of 7800 that divides 7800 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,20,24,25,26,30,39,40,50,52,60,65,75,78,100,104,120,130,150,156,195,200,260,300,312,325,390,520,600,650,780,975,1300,1560,1950,2600,3900,7800

Greatest Common Factor

We found the factors 580,7800 . The biggest common factor number is the GCF number.
So the greatest common factor 580,7800 is 20.


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 1592/580, 3330/7800

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 1592/580, 3330/7800?

Answer: LCM of Numerators as per given numbers 1592/580, 3330/7800 is

LCM of Numerators i.e. for 1592,3330 is 2650680

GCF of denominators i.e. for 580,7800 is 20.

Thus, LCM of Fractions is 132534.Finally, LCM of Fractions for 1592/580, 3330/7800 is 132534.