Least Common Multiple of 3585/958, 8220/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3585/958, 8220/413 quickly i.e. 1964580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3585/958, 8220/413 is 1964580.

LCM(3585/958, 8220/413) = 1964580

LCM of 3585/958, 8220/413

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 3585/958,8220/413

Given numbers are 3585/958,8220/413

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 3585,8220

Least Common Multiple of Numerators i.e. LCM of 3585,8220 is 1964580.

GCF of Denominators means GCF of 958,413 as per the given fractions.

GCF of 958,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3585,8220

LCM of Fractions 3585/958,8220/413 is 1964580

3 3585, 8220
5 1195, 2740
239, 548

∴ So the LCM of the given numbers is 3 x 5 x 239 x 548 = 1964580

Least Common Multiple of 3585,8220 with GCF Formula

Least Common Multiple of 3585,8220 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 3585,8220 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3585,8220) = 15

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

GCF(3585,8220) x common factors =15 x 1 = 15

LCM(3585,8220) = ( 3585 × 8220 ) / 15

LCM(3585,8220) = 29468700 / 15

LCM(3585,8220) = 1964580


Lets's calculate GCF of 958,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1964580/1

Therefore the LCM of Fractions 3585/958,8220/413 is 1964580

Greatest Common Factor of 958,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,413 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 958,413 . The biggest common factor number is the GCF number.
So the greatest common factor 958,413 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 3585/958, 8220/413

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 3585/958, 8220/413?

Answer: LCM of Numerators as per given numbers 3585/958, 8220/413 is

LCM of Numerators i.e. for 3585,8220 is 1964580

GCF of denominators i.e. for 958,413 is 1.

Thus, LCM of Fractions is 1964580.Finally, LCM of Fractions for 3585/958, 8220/413 is 1964580.