Least Common Multiple of 7587/580, 7970/3800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7587/580, 7970/3800 quickly i.e. 60468390/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7587/580, 7970/3800 is 60468390/20.

LCM(7587/580, 7970/3800) = 60468390/20

LCM of 7587/580, 7970/3800

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 7587/580,7970/3800

Given numbers are 7587/580,7970/3800

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 7587,7970

Least Common Multiple of Numerators i.e. LCM of 7587,7970 is 60468390.

GCF of Denominators means GCF of 580,3800 as per the given fractions.

GCF of 580,3800 is 20 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7587,7970

LCM of Fractions 7587/580,7970/3800 is 60468390/20

Given numbers has no common factors except 1. So, there LCM is their product i.e 60468390

Least Common Multiple of 7587,7970 with GCF Formula

Least Common Multiple of 7587,7970 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 7587,7970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7587,7970) = 1

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

GCF(7587,7970) x common factors =1 x 1 = 1

LCM(7587,7970) = ( 7587 × 7970 ) / 1

LCM(7587,7970) = 60468390 / 1

LCM(7587,7970) = 60468390


Lets's calculate GCF of 580,3800

2 580, 3800
2 290, 1900
5 145, 950
29, 190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60468390/20

Therefore the LCM of Fractions 7587/580,7970/3800 is 60468390/20

Greatest Common Factor of 580,3800 By Matching Biggest Common Factor Method

Greatest Common Factor of 580,3800 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 3800

List of positive integer factors of 3800 that divides 3800 without a remainder.

1,2,4,5,8,10,19,20,25,38,40,50,76,95,100,152,190,200,380,475,760,950,1900,3800

Greatest Common Factor

We found the factors 580,3800 . The biggest common factor number is the GCF number.
So the greatest common factor 580,3800 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 7587/580, 7970/3800

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 7587/580, 7970/3800?

Answer: LCM of Numerators as per given numbers 7587/580, 7970/3800 is

LCM of Numerators i.e. for 7587,7970 is 60468390

GCF of denominators i.e. for 580,3800 is 20.

Thus, LCM of Fractions is 60468390/20.Finally, LCM of Fractions for 7587/580, 7970/3800 is 60468390/20.