Least Common Multiple of 492/89, 584/30, 389/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 492/89, 584/30, 389/730 quickly i.e. 27942648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 492/89, 584/30, 389/730 is 27942648.

LCM(492/89, 584/30, 389/730) = 27942648

LCM of 492/89, 584/30, 389/730

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 492/89,584/30,389/730

Given numbers are 492/89,584/30,389/730

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 492,584,389

Least Common Multiple of Numerators i.e. LCM of 492,584,389 is 27942648.

GCF of Denominators means GCF of 89,30,730 as per the given fractions.

GCF of 89,30,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 492,584,389

LCM of Fractions 492/89,584/30,389/730 is 27942648

2 492, 584, 389
2 246, 292, 389
123, 146, 389

∴ So the LCM of the given numbers is 2 x 2 x 123 x 146 x 389 = 27942648

Least Common Multiple of 492,584,389 with GCF Formula

Least Common Multiple of 492,584,389 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 492,584,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,584,389) = 1

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

GCF(492,584,389) x common factors =1 x 4 = 4

LCM(492,584,389) = ( 492 × 584 × 389 ) / 4

LCM(492,584,389) = 111770592 / 4

LCM(492,584,389) = 27942648


Lets's calculate GCF of 89,30,730

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27942648/1

Therefore the LCM of Fractions 492/89,584/30,389/730 is 27942648

Greatest Common Factor of 89,30,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,30,730 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 89,30,730 . The biggest common factor number is the GCF number.
So the greatest common factor 89,30,730 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 492/89, 584/30, 389/730

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 492/89, 584/30, 389/730?

Answer: LCM of Numerators as per given numbers 492/89, 584/30, 389/730 is

LCM of Numerators i.e. for 492,584,389 is 27942648

GCF of denominators i.e. for 89,30,730 is 1.

Thus, LCM of Fractions is 27942648.Finally, LCM of Fractions for 492/89, 584/30, 389/730 is 27942648.