Least Common Multiple of 65/516, 4155/8021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 65/516, 4155/8021 quickly i.e. 54015 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/516, 4155/8021 is 54015.

LCM(65/516, 4155/8021) = 54015

LCM of 65/516, 4155/8021

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 65/516,4155/8021

Given numbers are 65/516,4155/8021

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 65,4155

Least Common Multiple of Numerators i.e. LCM of 65,4155 is 54015.

GCF of Denominators means GCF of 516,8021 as per the given fractions.

GCF of 516,8021 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,4155

LCM of Fractions 65/516,4155/8021 is 54015

5 65, 4155
13, 831

∴ So the LCM of the given numbers is 5 x 13 x 831 = 54015

Least Common Multiple of 65,4155 with GCF Formula

Least Common Multiple of 65,4155 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 65,4155 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,4155) = 5

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

GCF(65,4155) x common factors =5 x 1 = 5

LCM(65,4155) = ( 65 × 4155 ) / 5

LCM(65,4155) = 270075 / 5

LCM(65,4155) = 54015


Lets's calculate GCF of 516,8021

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54015/1

Therefore the LCM of Fractions 65/516,4155/8021 is 54015

Greatest Common Factor of 516,8021 By Matching Biggest Common Factor Method

Greatest Common Factor of 516,8021 By Matching Biggest Common Factor Method

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 8021

List of positive integer factors of 8021 that divides 8021 without a remainder.

1,13,617,8021

Greatest Common Factor

We found the factors 516,8021 . The biggest common factor number is the GCF number.
So the greatest common factor 516,8021 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 65/516, 4155/8021

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 65/516, 4155/8021?

Answer: LCM of Numerators as per given numbers 65/516, 4155/8021 is

LCM of Numerators i.e. for 65,4155 is 54015

GCF of denominators i.e. for 516,8021 is 1.

Thus, LCM of Fractions is 54015.Finally, LCM of Fractions for 65/516, 4155/8021 is 54015.