Least Common Multiple of 615/820, 2267/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 615/820, 2267/895 quickly i.e. 278841 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 615/820, 2267/895 is 278841.

LCM(615/820, 2267/895) = 278841

LCM of 615/820, 2267/895

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 615/820,2267/895

Given numbers are 615/820,2267/895

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 615,2267

Least Common Multiple of Numerators i.e. LCM of 615,2267 is 1394205.

GCF of Denominators means GCF of 820,895 as per the given fractions.

GCF of 820,895 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 615,2267

LCM of Fractions 615/820,2267/895 is 278841

Given numbers has no common factors except 1. So, there LCM is their product i.e 1394205

Least Common Multiple of 615,2267 with GCF Formula

Least Common Multiple of 615,2267 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 615,2267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,2267) = 1

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

GCF(615,2267) x common factors =1 x 1 = 1

LCM(615,2267) = ( 615 × 2267 ) / 1

LCM(615,2267) = 1394205 / 1

LCM(615,2267) = 1394205


Lets's calculate GCF of 820,895

5 820, 895
164, 179

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1394205/5

Therefore the LCM of Fractions 615/820,2267/895 is 278841

Greatest Common Factor of 820,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,895 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 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 820,895 . The biggest common factor number is the GCF number.
So the greatest common factor 820,895 is 5.


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 615/820, 2267/895

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 615/820, 2267/895?

Answer: LCM of Numerators as per given numbers 615/820, 2267/895 is

LCM of Numerators i.e. for 615,2267 is 1394205

GCF of denominators i.e. for 820,895 is 5.

Thus, LCM of Fractions is 278841.Finally, LCM of Fractions for 615/820, 2267/895 is 278841.