Least Common Multiple of 330/90, 8529/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/90, 8529/435 quickly i.e. 62546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/90, 8529/435 is 62546.

LCM(330/90, 8529/435) = 62546

LCM of 330/90, 8529/435

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 330/90,8529/435

Given numbers are 330/90,8529/435

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 330,8529

Least Common Multiple of Numerators i.e. LCM of 330,8529 is 938190.

GCF of Denominators means GCF of 90,435 as per the given fractions.

GCF of 90,435 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,8529

LCM of Fractions 330/90,8529/435 is 62546

3 330, 8529
110, 2843

∴ So the LCM of the given numbers is 3 x 110 x 2843 = 938190

Least Common Multiple of 330,8529 with GCF Formula

Least Common Multiple of 330,8529 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 330,8529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,8529) = 3

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

GCF(330,8529) x common factors =3 x 1 = 3

LCM(330,8529) = ( 330 × 8529 ) / 3

LCM(330,8529) = 2814570 / 3

LCM(330,8529) = 938190


Lets's calculate GCF of 90,435

3 90, 435
5 30, 145
6, 29

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 938190/15

Therefore the LCM of Fractions 330/90,8529/435 is 62546

Greatest Common Factor of 90,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,435 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 90,435 . The biggest common factor number is the GCF number.
So the greatest common factor 90,435 is 15.


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 330/90, 8529/435

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 330/90, 8529/435?

Answer: LCM of Numerators as per given numbers 330/90, 8529/435 is

LCM of Numerators i.e. for 330,8529 is 938190

GCF of denominators i.e. for 90,435 is 15.

Thus, LCM of Fractions is 62546.Finally, LCM of Fractions for 330/90, 8529/435 is 62546.