Least Common Multiple of 849/58, 589/85, 249/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/58, 589/85, 249/320 quickly i.e. 41505063 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/58, 589/85, 249/320 is 41505063.

LCM(849/58, 589/85, 249/320) = 41505063

LCM of 849/58, 589/85, 249/320

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 849/58,589/85,249/320

Given numbers are 849/58,589/85,249/320

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 849,589,249

Least Common Multiple of Numerators i.e. LCM of 849,589,249 is 41505063.

GCF of Denominators means GCF of 58,85,320 as per the given fractions.

GCF of 58,85,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,589,249

LCM of Fractions 849/58,589/85,249/320 is 41505063

3 849, 589, 249
283, 589, 83

∴ So the LCM of the given numbers is 3 x 283 x 589 x 83 = 41505063

Least Common Multiple of 849,589,249 with GCF Formula

Least Common Multiple of 849,589,249 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 849,589,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,589,249) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(849,589,249) x common factors =1 x 3 = 3

LCM(849,589,249) = ( 849 × 589 × 249 ) / 3

LCM(849,589,249) = 124515189 / 3

LCM(849,589,249) = 41505063


Lets's calculate GCF of 58,85,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41505063/1

Therefore the LCM of Fractions 849/58,589/85,249/320 is 41505063

Greatest Common Factor of 58,85,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,85,320 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 58,85,320 . The biggest common factor number is the GCF number.
So the greatest common factor 58,85,320 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 849/58, 589/85, 249/320

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 849/58, 589/85, 249/320?

Answer: LCM of Numerators as per given numbers 849/58, 589/85, 249/320 is

LCM of Numerators i.e. for 849,589,249 is 41505063

GCF of denominators i.e. for 58,85,320 is 1.

Thus, LCM of Fractions is 41505063.Finally, LCM of Fractions for 849/58, 589/85, 249/320 is 41505063.