Least Common Multiple of 84/384, 290/282, 362/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 84/384, 290/282, 362/589 quickly i.e. 2204580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/384, 290/282, 362/589 is 2204580.

LCM(84/384, 290/282, 362/589) = 2204580

LCM of 84/384, 290/282, 362/589

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 84/384,290/282,362/589

Given numbers are 84/384,290/282,362/589

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 84,290,362

Least Common Multiple of Numerators i.e. LCM of 84,290,362 is 2204580.

GCF of Denominators means GCF of 384,282,589 as per the given fractions.

GCF of 384,282,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,290,362

LCM of Fractions 84/384,290/282,362/589 is 2204580

2 84, 290, 362
42, 145, 181

∴ So the LCM of the given numbers is 2 x 42 x 145 x 181 = 2204580

Least Common Multiple of 84,290,362 with GCF Formula

Least Common Multiple of 84,290,362 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 84,290,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,290,362) = 2

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

GCF(84,290,362) x common factors =2 x 2 = 4

LCM(84,290,362) = ( 84 × 290 × 362 ) / 4

LCM(84,290,362) = 8818320 / 4

LCM(84,290,362) = 2204580


Lets's calculate GCF of 384,282,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2204580/1

Therefore the LCM of Fractions 84/384,290/282,362/589 is 2204580

Greatest Common Factor of 384,282,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,282,589 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 384,282,589 . The biggest common factor number is the GCF number.
So the greatest common factor 384,282,589 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 84/384, 290/282, 362/589

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 84/384, 290/282, 362/589?

Answer: LCM of Numerators as per given numbers 84/384, 290/282, 362/589 is

LCM of Numerators i.e. for 84,290,362 is 2204580

GCF of denominators i.e. for 384,282,589 is 1.

Thus, LCM of Fractions is 2204580.Finally, LCM of Fractions for 84/384, 290/282, 362/589 is 2204580.