Least Common Multiple of 284/594, 739/586, 148/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 284/594, 739/586, 148/582 quickly i.e. 3882706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 284/594, 739/586, 148/582 is 3882706.

LCM(284/594, 739/586, 148/582) = 3882706

LCM of 284/594, 739/586, 148/582

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 284/594,739/586,148/582

Given numbers are 284/594,739/586,148/582

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 284,739,148

Least Common Multiple of Numerators i.e. LCM of 284,739,148 is 7765412.

GCF of Denominators means GCF of 594,586,582 as per the given fractions.

GCF of 594,586,582 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 284,739,148

LCM of Fractions 284/594,739/586,148/582 is 3882706

2 284, 739, 148
2 142, 739, 74
71, 739, 37

∴ So the LCM of the given numbers is 2 x 2 x 71 x 739 x 37 = 7765412

Least Common Multiple of 284,739,148 with GCF Formula

Least Common Multiple of 284,739,148 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 284,739,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,739,148) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(284,739,148) x common factors =1 x 4 = 4

LCM(284,739,148) = ( 284 × 739 × 148 ) / 4

LCM(284,739,148) = 31061648 / 4

LCM(284,739,148) = 7765412


Lets's calculate GCF of 594,586,582

2 594, 586, 582
297, 293, 291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7765412/2

Therefore the LCM of Fractions 284/594,739/586,148/582 is 3882706

Greatest Common Factor of 594,586,582 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,586,582 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Greatest Common Factor

We found the factors 594,586,582 . The biggest common factor number is the GCF number.
So the greatest common factor 594,586,582 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 284/594, 739/586, 148/582

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 284/594, 739/586, 148/582?

Answer: LCM of Numerators as per given numbers 284/594, 739/586, 148/582 is

LCM of Numerators i.e. for 284,739,148 is 7765412

GCF of denominators i.e. for 594,586,582 is 2.

Thus, LCM of Fractions is 3882706.Finally, LCM of Fractions for 284/594, 739/586, 148/582 is 3882706.