Least Common Multiple of 286/665, 1009/115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/665, 1009/115 quickly i.e. 288574/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/665, 1009/115 is 288574/5.

LCM(286/665, 1009/115) = 288574/5

LCM of 286/665, 1009/115

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 286/665,1009/115

Given numbers are 286/665,1009/115

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 286,1009

Least Common Multiple of Numerators i.e. LCM of 286,1009 is 288574.

GCF of Denominators means GCF of 665,115 as per the given fractions.

GCF of 665,115 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,1009

LCM of Fractions 286/665,1009/115 is 288574/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 288574

Least Common Multiple of 286,1009 with GCF Formula

Least Common Multiple of 286,1009 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 286,1009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,1009) = 1

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

GCF(286,1009) x common factors =1 x 1 = 1

LCM(286,1009) = ( 286 × 1009 ) / 1

LCM(286,1009) = 288574 / 1

LCM(286,1009) = 288574


Lets's calculate GCF of 665,115

5 665, 115
133, 23

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288574/5

Therefore the LCM of Fractions 286/665,1009/115 is 288574/5

Greatest Common Factor of 665,115 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,115 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

Greatest Common Factor

We found the factors 665,115 . The biggest common factor number is the GCF number.
So the greatest common factor 665,115 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 286/665, 1009/115

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 286/665, 1009/115?

Answer: LCM of Numerators as per given numbers 286/665, 1009/115 is

LCM of Numerators i.e. for 286,1009 is 288574

GCF of denominators i.e. for 665,115 is 5.

Thus, LCM of Fractions is 288574/5.Finally, LCM of Fractions for 286/665, 1009/115 is 288574/5.