Least Common Multiple of 2460/300, 7267/2782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2460/300, 7267/2782 quickly i.e. 8938410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2460/300, 7267/2782 is 8938410.

LCM(2460/300, 7267/2782) = 8938410

LCM of 2460/300, 7267/2782

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 2460/300,7267/2782

Given numbers are 2460/300,7267/2782

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 2460,7267

Least Common Multiple of Numerators i.e. LCM of 2460,7267 is 17876820.

GCF of Denominators means GCF of 300,2782 as per the given fractions.

GCF of 300,2782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2460,7267

LCM of Fractions 2460/300,7267/2782 is 8938410

Given numbers has no common factors except 1. So, there LCM is their product i.e 17876820

Least Common Multiple of 2460,7267 with GCF Formula

Least Common Multiple of 2460,7267 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 2460,7267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2460,7267) = 1

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

GCF(2460,7267) x common factors =1 x 1 = 1

LCM(2460,7267) = ( 2460 × 7267 ) / 1

LCM(2460,7267) = 17876820 / 1

LCM(2460,7267) = 17876820


Lets's calculate GCF of 300,2782

2 300, 2782
150, 1391

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17876820/2

Therefore the LCM of Fractions 2460/300,7267/2782 is 8938410

Greatest Common Factor of 300,2782 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,2782 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 2782

List of positive integer factors of 2782 that divides 2782 without a remainder.

1,2,13,26,107,214,1391,2782

Greatest Common Factor

We found the factors 300,2782 . The biggest common factor number is the GCF number.
So the greatest common factor 300,2782 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 2460/300, 7267/2782

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 2460/300, 7267/2782?

Answer: LCM of Numerators as per given numbers 2460/300, 7267/2782 is

LCM of Numerators i.e. for 2460,7267 is 17876820

GCF of denominators i.e. for 300,2782 is 2.

Thus, LCM of Fractions is 8938410.Finally, LCM of Fractions for 2460/300, 7267/2782 is 8938410.