Least Common Multiple of 1785/87, 8776/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1785/87, 8776/915 quickly i.e. 5221720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1785/87, 8776/915 is 5221720.

LCM(1785/87, 8776/915) = 5221720

LCM of 1785/87, 8776/915

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 1785/87,8776/915

Given numbers are 1785/87,8776/915

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 1785,8776

Least Common Multiple of Numerators i.e. LCM of 1785,8776 is 15665160.

GCF of Denominators means GCF of 87,915 as per the given fractions.

GCF of 87,915 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1785,8776

LCM of Fractions 1785/87,8776/915 is 5221720

Given numbers has no common factors except 1. So, there LCM is their product i.e 15665160

Least Common Multiple of 1785,8776 with GCF Formula

Least Common Multiple of 1785,8776 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 1785,8776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1785,8776) = 1

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

GCF(1785,8776) x common factors =1 x 1 = 1

LCM(1785,8776) = ( 1785 × 8776 ) / 1

LCM(1785,8776) = 15665160 / 1

LCM(1785,8776) = 15665160


Lets's calculate GCF of 87,915

3 87, 915
29, 305

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15665160/3

Therefore the LCM of Fractions 1785/87,8776/915 is 5221720

Greatest Common Factor of 87,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,915 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 87,915 . The biggest common factor number is the GCF number.
So the greatest common factor 87,915 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1785/87, 8776/915

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 1785/87, 8776/915?

Answer: LCM of Numerators as per given numbers 1785/87, 8776/915 is

LCM of Numerators i.e. for 1785,8776 is 15665160

GCF of denominators i.e. for 87,915 is 3.

Thus, LCM of Fractions is 5221720.Finally, LCM of Fractions for 1785/87, 8776/915 is 5221720.