Least Common Multiple of 2505/820, 4965/4486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2505/820, 4965/4486 quickly i.e. 829155/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2505/820, 4965/4486 is 829155/2.

LCM(2505/820, 4965/4486) = 829155/2

LCM of 2505/820, 4965/4486

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 2505/820,4965/4486

Given numbers are 2505/820,4965/4486

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 2505,4965

Least Common Multiple of Numerators i.e. LCM of 2505,4965 is 829155.

GCF of Denominators means GCF of 820,4486 as per the given fractions.

GCF of 820,4486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2505,4965

LCM of Fractions 2505/820,4965/4486 is 829155/2

3 2505, 4965
5 835, 1655
167, 331

∴ So the LCM of the given numbers is 3 x 5 x 167 x 331 = 829155

Least Common Multiple of 2505,4965 with GCF Formula

Least Common Multiple of 2505,4965 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 2505,4965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2505,4965) = 15

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

GCF(2505,4965) x common factors =15 x 1 = 15

LCM(2505,4965) = ( 2505 × 4965 ) / 15

LCM(2505,4965) = 12437325 / 15

LCM(2505,4965) = 829155


Lets's calculate GCF of 820,4486

2 820, 4486
410, 2243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 829155/2

Therefore the LCM of Fractions 2505/820,4965/4486 is 829155/2

Greatest Common Factor of 820,4486 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,4486 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 4486

List of positive integer factors of 4486 that divides 4486 without a remainder.

1,2,2243,4486

Greatest Common Factor

We found the factors 820,4486 . The biggest common factor number is the GCF number.
So the greatest common factor 820,4486 is 2.


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 2505/820, 4965/4486

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 2505/820, 4965/4486?

Answer: LCM of Numerators as per given numbers 2505/820, 4965/4486 is

LCM of Numerators i.e. for 2505,4965 is 829155

GCF of denominators i.e. for 820,4486 is 2.

Thus, LCM of Fractions is 829155/2.Finally, LCM of Fractions for 2505/820, 4965/4486 is 829155/2.