Least Common Multiple of 659/581, 855/287, 268/900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 659/581, 855/287, 268/900 quickly i.e. 151003260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 659/581, 855/287, 268/900 is 151003260.

LCM(659/581, 855/287, 268/900) = 151003260

LCM of 659/581, 855/287, 268/900

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 659/581,855/287,268/900

Given numbers are 659/581,855/287,268/900

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 659,855,268

Least Common Multiple of Numerators i.e. LCM of 659,855,268 is 151003260.

GCF of Denominators means GCF of 581,287,900 as per the given fractions.

GCF of 581,287,900 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 659,855,268

LCM of Fractions 659/581,855/287,268/900 is 151003260

Given numbers has no common factors except 1. So, there LCM is their product i.e 151003260

Least Common Multiple of 659,855,268 with GCF Formula

Least Common Multiple of 659,855,268 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 659,855,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,855,268) = 1

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

GCF(659,855,268) x common factors =1 x 1 = 1

LCM(659,855,268) = ( 659 × 855 × 268 ) / 1

LCM(659,855,268) = 151003260 / 1

LCM(659,855,268) = 151003260


Lets's calculate GCF of 581,287,900

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151003260/1

Therefore the LCM of Fractions 659/581,855/287,268/900 is 151003260

Greatest Common Factor of 581,287,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 581,287,900 By Matching Biggest Common Factor Method

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 581,287,900 . The biggest common factor number is the GCF number.
So the greatest common factor 581,287,900 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 659/581, 855/287, 268/900

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 659/581, 855/287, 268/900?

Answer: LCM of Numerators as per given numbers 659/581, 855/287, 268/900 is

LCM of Numerators i.e. for 659,855,268 is 151003260

GCF of denominators i.e. for 581,287,900 is 1.

Thus, LCM of Fractions is 151003260.Finally, LCM of Fractions for 659/581, 855/287, 268/900 is 151003260.