Least Common Multiple of 6528/683, 1605/9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6528/683, 1605/9852 quickly i.e. 3492480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6528/683, 1605/9852 is 3492480.

LCM(6528/683, 1605/9852) = 3492480

LCM of 6528/683, 1605/9852

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 6528/683,1605/9852

Given numbers are 6528/683,1605/9852

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 6528,1605

Least Common Multiple of Numerators i.e. LCM of 6528,1605 is 3492480.

GCF of Denominators means GCF of 683,9852 as per the given fractions.

GCF of 683,9852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6528,1605

LCM of Fractions 6528/683,1605/9852 is 3492480

3 6528, 1605
2176, 535

∴ So the LCM of the given numbers is 3 x 2176 x 535 = 3492480

Least Common Multiple of 6528,1605 with GCF Formula

Least Common Multiple of 6528,1605 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 6528,1605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6528,1605) = 3

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

GCF(6528,1605) x common factors =3 x 1 = 3

LCM(6528,1605) = ( 6528 × 1605 ) / 3

LCM(6528,1605) = 10477440 / 3

LCM(6528,1605) = 3492480


Lets's calculate GCF of 683,9852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3492480/1

Therefore the LCM of Fractions 6528/683,1605/9852 is 3492480

Greatest Common Factor of 683,9852 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,9852 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1,2,3,4,6,12,821,1642,2463,3284,4926,9852

Greatest Common Factor

We found the factors 683,9852 . The biggest common factor number is the GCF number.
So the greatest common factor 683,9852 is 1.


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 6528/683, 1605/9852

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 6528/683, 1605/9852?

Answer: LCM of Numerators as per given numbers 6528/683, 1605/9852 is

LCM of Numerators i.e. for 6528,1605 is 3492480

GCF of denominators i.e. for 683,9852 is 1.

Thus, LCM of Fractions is 3492480.Finally, LCM of Fractions for 6528/683, 1605/9852 is 3492480.