Least Common Multiple of 10/444, 56/240, 302/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/444, 56/240, 302/587 quickly i.e. 42280 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/444, 56/240, 302/587 is 42280.

LCM(10/444, 56/240, 302/587) = 42280

LCM of 10/444, 56/240, 302/587

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 10/444,56/240,302/587

Given numbers are 10/444,56/240,302/587

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 10,56,302

Least Common Multiple of Numerators i.e. LCM of 10,56,302 is 42280.

GCF of Denominators means GCF of 444,240,587 as per the given fractions.

GCF of 444,240,587 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,56,302

LCM of Fractions 10/444,56/240,302/587 is 42280

2 10, 56, 302
5, 28, 151

∴ So the LCM of the given numbers is 2 x 5 x 28 x 151 = 42280

Least Common Multiple of 10,56,302 with GCF Formula

Least Common Multiple of 10,56,302 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 10,56,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,56,302) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(10,56,302) x common factors =2 x 2 = 4

LCM(10,56,302) = ( 10 × 56 × 302 ) / 4

LCM(10,56,302) = 169120 / 4

LCM(10,56,302) = 42280


Lets's calculate GCF of 444,240,587

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42280/1

Therefore the LCM of Fractions 10/444,56/240,302/587 is 42280

Greatest Common Factor of 444,240,587 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,240,587 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 587

List of positive integer factors of 587 that divides 587 without a remainder.

1,587

Greatest Common Factor

We found the factors 444,240,587 . The biggest common factor number is the GCF number.
So the greatest common factor 444,240,587 is 1.


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 10/444, 56/240, 302/587

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 10/444, 56/240, 302/587?

Answer: LCM of Numerators as per given numbers 10/444, 56/240, 302/587 is

LCM of Numerators i.e. for 10,56,302 is 42280

GCF of denominators i.e. for 444,240,587 is 1.

Thus, LCM of Fractions is 42280.Finally, LCM of Fractions for 10/444, 56/240, 302/587 is 42280.