Least Common Multiple of 2705/461, 3684/4503

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2705/461, 3684/4503 quickly i.e. 9965220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2705/461, 3684/4503 is 9965220.

LCM(2705/461, 3684/4503) = 9965220

LCM of 2705/461, 3684/4503

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 2705/461,3684/4503

Given numbers are 2705/461,3684/4503

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 2705,3684

Least Common Multiple of Numerators i.e. LCM of 2705,3684 is 9965220.

GCF of Denominators means GCF of 461,4503 as per the given fractions.

GCF of 461,4503 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2705,3684

LCM of Fractions 2705/461,3684/4503 is 9965220

Given numbers has no common factors except 1. So, there LCM is their product i.e 9965220

Least Common Multiple of 2705,3684 with GCF Formula

Least Common Multiple of 2705,3684 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 2705,3684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2705,3684) = 1

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

GCF(2705,3684) x common factors =1 x 1 = 1

LCM(2705,3684) = ( 2705 × 3684 ) / 1

LCM(2705,3684) = 9965220 / 1

LCM(2705,3684) = 9965220


Lets's calculate GCF of 461,4503

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9965220/1

Therefore the LCM of Fractions 2705/461,3684/4503 is 9965220

Greatest Common Factor of 461,4503 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,4503 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 4503

List of positive integer factors of 4503 that divides 4503 without a remainder.

1,3,19,57,79,237,1501,4503

Greatest Common Factor

We found the factors 461,4503 . The biggest common factor number is the GCF number.
So the greatest common factor 461,4503 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 2705/461, 3684/4503

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 2705/461, 3684/4503?

Answer: LCM of Numerators as per given numbers 2705/461, 3684/4503 is

LCM of Numerators i.e. for 2705,3684 is 9965220

GCF of denominators i.e. for 461,4503 is 1.

Thus, LCM of Fractions is 9965220.Finally, LCM of Fractions for 2705/461, 3684/4503 is 9965220.