Least Common Multiple of 489/58, 169/82, 274/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 489/58, 169/82, 274/340 quickly i.e. 11321817 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/58, 169/82, 274/340 is 11321817.

LCM(489/58, 169/82, 274/340) = 11321817

LCM of 489/58, 169/82, 274/340

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 489/58,169/82,274/340

Given numbers are 489/58,169/82,274/340

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 489,169,274

Least Common Multiple of Numerators i.e. LCM of 489,169,274 is 22643634.

GCF of Denominators means GCF of 58,82,340 as per the given fractions.

GCF of 58,82,340 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,169,274

LCM of Fractions 489/58,169/82,274/340 is 11321817

Given numbers has no common factors except 1. So, there LCM is their product i.e 22643634

Least Common Multiple of 489,169,274 with GCF Formula

Least Common Multiple of 489,169,274 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 489,169,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,169,274) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(489,169,274) x common factors =1 x 1 = 1

LCM(489,169,274) = ( 489 × 169 × 274 ) / 1

LCM(489,169,274) = 22643634 / 1

LCM(489,169,274) = 22643634


Lets's calculate GCF of 58,82,340

2 58, 82, 340
29, 41, 170

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22643634/2

Therefore the LCM of Fractions 489/58,169/82,274/340 is 11321817

Greatest Common Factor of 58,82,340 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,82,340 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Greatest Common Factor

We found the factors 58,82,340 . The biggest common factor number is the GCF number.
So the greatest common factor 58,82,340 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 489/58, 169/82, 274/340

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 489/58, 169/82, 274/340?

Answer: LCM of Numerators as per given numbers 489/58, 169/82, 274/340 is

LCM of Numerators i.e. for 489,169,274 is 22643634

GCF of denominators i.e. for 58,82,340 is 2.

Thus, LCM of Fractions is 11321817.Finally, LCM of Fractions for 489/58, 169/82, 274/340 is 11321817.