Least Common Multiple of 9078/820, 2785/2662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9078/820, 2785/2662 quickly i.e. 12641115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9078/820, 2785/2662 is 12641115.

LCM(9078/820, 2785/2662) = 12641115

LCM of 9078/820, 2785/2662

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 9078/820,2785/2662

Given numbers are 9078/820,2785/2662

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 9078,2785

Least Common Multiple of Numerators i.e. LCM of 9078,2785 is 25282230.

GCF of Denominators means GCF of 820,2662 as per the given fractions.

GCF of 820,2662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9078,2785

LCM of Fractions 9078/820,2785/2662 is 12641115

Given numbers has no common factors except 1. So, there LCM is their product i.e 25282230

Least Common Multiple of 9078,2785 with GCF Formula

Least Common Multiple of 9078,2785 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 9078,2785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9078,2785) = 1

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

GCF(9078,2785) x common factors =1 x 1 = 1

LCM(9078,2785) = ( 9078 × 2785 ) / 1

LCM(9078,2785) = 25282230 / 1

LCM(9078,2785) = 25282230


Lets's calculate GCF of 820,2662

2 820, 2662
410, 1331

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25282230/2

Therefore the LCM of Fractions 9078/820,2785/2662 is 12641115

Greatest Common Factor of 820,2662 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,2662 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 2662

List of positive integer factors of 2662 that divides 2662 without a remainder.

1,2,11,22,121,242,1331,2662

Greatest Common Factor

We found the factors 820,2662 . The biggest common factor number is the GCF number.
So the greatest common factor 820,2662 is 2.


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 9078/820, 2785/2662

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 9078/820, 2785/2662?

Answer: LCM of Numerators as per given numbers 9078/820, 2785/2662 is

LCM of Numerators i.e. for 9078,2785 is 25282230

GCF of denominators i.e. for 820,2662 is 2.

Thus, LCM of Fractions is 12641115.Finally, LCM of Fractions for 9078/820, 2785/2662 is 12641115.