Least Common Multiple of 3053/415, 1363/9540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3053/415, 1363/9540 quickly i.e. 4161239/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3053/415, 1363/9540 is 4161239/5.

LCM(3053/415, 1363/9540) = 4161239/5

LCM of 3053/415, 1363/9540

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 3053/415,1363/9540

Given numbers are 3053/415,1363/9540

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 3053,1363

Least Common Multiple of Numerators i.e. LCM of 3053,1363 is 4161239.

GCF of Denominators means GCF of 415,9540 as per the given fractions.

GCF of 415,9540 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3053,1363

LCM of Fractions 3053/415,1363/9540 is 4161239/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 4161239

Least Common Multiple of 3053,1363 with GCF Formula

Least Common Multiple of 3053,1363 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 3053,1363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3053,1363) = 1

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

GCF(3053,1363) x common factors =1 x 1 = 1

LCM(3053,1363) = ( 3053 × 1363 ) / 1

LCM(3053,1363) = 4161239 / 1

LCM(3053,1363) = 4161239


Lets's calculate GCF of 415,9540

5 415, 9540
83, 1908

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4161239/5

Therefore the LCM of Fractions 3053/415,1363/9540 is 4161239/5

Greatest Common Factor of 415,9540 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,9540 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540

Greatest Common Factor

We found the factors 415,9540 . The biggest common factor number is the GCF number.
So the greatest common factor 415,9540 is 5.


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 3053/415, 1363/9540

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 3053/415, 1363/9540?

Answer: LCM of Numerators as per given numbers 3053/415, 1363/9540 is

LCM of Numerators i.e. for 3053,1363 is 4161239

GCF of denominators i.e. for 415,9540 is 5.

Thus, LCM of Fractions is 4161239/5.Finally, LCM of Fractions for 3053/415, 1363/9540 is 4161239/5.