Least Common Multiple of 489/135, 317/910

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 489/135, 317/910 quickly i.e. 155013/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 489/135, 317/910 is 155013/5.

LCM(489/135, 317/910) = 155013/5

LCM of 489/135, 317/910

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 489/135,317/910

Given numbers are 489/135,317/910

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 489,317

Least Common Multiple of Numerators i.e. LCM of 489,317 is 155013.

GCF of Denominators means GCF of 135,910 as per the given fractions.

GCF of 135,910 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 489,317

LCM of Fractions 489/135,317/910 is 155013/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 155013

Least Common Multiple of 489,317 with GCF Formula

Least Common Multiple of 489,317 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 489,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(489,317) = 1

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

GCF(489,317) x common factors =1 x 1 = 1

LCM(489,317) = ( 489 × 317 ) / 1

LCM(489,317) = 155013 / 1

LCM(489,317) = 155013


Lets's calculate GCF of 135,910

5 135, 910
27, 182

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155013/5

Therefore the LCM of Fractions 489/135,317/910 is 155013/5

Greatest Common Factor of 135,910 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,910 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Greatest Common Factor

We found the factors 135,910 . The biggest common factor number is the GCF number.
So the greatest common factor 135,910 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 489/135, 317/910

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 489/135, 317/910?

Answer: LCM of Numerators as per given numbers 489/135, 317/910 is

LCM of Numerators i.e. for 489,317 is 155013

GCF of denominators i.e. for 135,910 is 5.

Thus, LCM of Fractions is 155013/5.Finally, LCM of Fractions for 489/135, 317/910 is 155013/5.