Least Common Multiple of 65/820, 4521/1832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/820, 4521/1832 quickly i.e. 293865/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/820, 4521/1832 is 293865/4.

LCM(65/820, 4521/1832) = 293865/4

LCM of 65/820, 4521/1832

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 65/820,4521/1832

Given numbers are 65/820,4521/1832

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 65,4521

Least Common Multiple of Numerators i.e. LCM of 65,4521 is 293865.

GCF of Denominators means GCF of 820,1832 as per the given fractions.

GCF of 820,1832 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,4521

LCM of Fractions 65/820,4521/1832 is 293865/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 293865

Least Common Multiple of 65,4521 with GCF Formula

Least Common Multiple of 65,4521 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 65,4521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,4521) = 1

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

GCF(65,4521) x common factors =1 x 1 = 1

LCM(65,4521) = ( 65 × 4521 ) / 1

LCM(65,4521) = 293865 / 1

LCM(65,4521) = 293865


Lets's calculate GCF of 820,1832

2 820, 1832
2 410, 916
205, 458

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 293865/4

Therefore the LCM of Fractions 65/820,4521/1832 is 293865/4

Greatest Common Factor of 820,1832 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,1832 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 1832

List of positive integer factors of 1832 that divides 1832 without a remainder.

1,2,4,8,229,458,916,1832

Greatest Common Factor

We found the factors 820,1832 . The biggest common factor number is the GCF number.
So the greatest common factor 820,1832 is 4.


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 65/820, 4521/1832

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 65/820, 4521/1832?

Answer: LCM of Numerators as per given numbers 65/820, 4521/1832 is

LCM of Numerators i.e. for 65,4521 is 293865

GCF of denominators i.e. for 820,1832 is 4.

Thus, LCM of Fractions is 293865/4.Finally, LCM of Fractions for 65/820, 4521/1832 is 293865/4.