Least Common Multiple of 330/23, 9510/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/23, 9510/549 quickly i.e. 104610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/23, 9510/549 is 104610.

LCM(330/23, 9510/549) = 104610

LCM of 330/23, 9510/549

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 330/23,9510/549

Given numbers are 330/23,9510/549

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 330,9510

Least Common Multiple of Numerators i.e. LCM of 330,9510 is 104610.

GCF of Denominators means GCF of 23,549 as per the given fractions.

GCF of 23,549 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,9510

LCM of Fractions 330/23,9510/549 is 104610

2 330, 9510
3 165, 4755
5 55, 1585
11, 317

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 317 = 104610

Least Common Multiple of 330,9510 with GCF Formula

Least Common Multiple of 330,9510 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 330,9510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,9510) = 30

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

GCF(330,9510) x common factors =30 x 1 = 30

LCM(330,9510) = ( 330 × 9510 ) / 30

LCM(330,9510) = 3138300 / 30

LCM(330,9510) = 104610


Lets's calculate GCF of 23,549

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104610/1

Therefore the LCM of Fractions 330/23,9510/549 is 104610

Greatest Common Factor of 23,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,549 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 23,549 . The biggest common factor number is the GCF number.
So the greatest common factor 23,549 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 330/23, 9510/549

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 330/23, 9510/549?

Answer: LCM of Numerators as per given numbers 330/23, 9510/549 is

LCM of Numerators i.e. for 330,9510 is 104610

GCF of denominators i.e. for 23,549 is 1.

Thus, LCM of Fractions is 104610.Finally, LCM of Fractions for 330/23, 9510/549 is 104610.