Least Common Multiple of 2245/413, 1215/5908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2245/413, 1215/5908 quickly i.e. 545535/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2245/413, 1215/5908 is 545535/7.

LCM(2245/413, 1215/5908) = 545535/7

LCM of 2245/413, 1215/5908

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 2245/413,1215/5908

Given numbers are 2245/413,1215/5908

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 2245,1215

Least Common Multiple of Numerators i.e. LCM of 2245,1215 is 545535.

GCF of Denominators means GCF of 413,5908 as per the given fractions.

GCF of 413,5908 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2245,1215

LCM of Fractions 2245/413,1215/5908 is 545535/7

5 2245, 1215
449, 243

∴ So the LCM of the given numbers is 5 x 449 x 243 = 545535

Least Common Multiple of 2245,1215 with GCF Formula

Least Common Multiple of 2245,1215 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 2245,1215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2245,1215) = 5

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

GCF(2245,1215) x common factors =5 x 1 = 5

LCM(2245,1215) = ( 2245 × 1215 ) / 5

LCM(2245,1215) = 2727675 / 5

LCM(2245,1215) = 545535


Lets's calculate GCF of 413,5908

7 413, 5908
59, 844

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545535/7

Therefore the LCM of Fractions 2245/413,1215/5908 is 545535/7

Greatest Common Factor of 413,5908 By Matching Biggest Common Factor Method

Greatest Common Factor of 413,5908 By Matching Biggest Common Factor Method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 5908

List of positive integer factors of 5908 that divides 5908 without a remainder.

1,2,4,7,14,28,211,422,844,1477,2954,5908

Greatest Common Factor

We found the factors 413,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 413,5908 is 7.


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 2245/413, 1215/5908

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 2245/413, 1215/5908?

Answer: LCM of Numerators as per given numbers 2245/413, 1215/5908 is

LCM of Numerators i.e. for 2245,1215 is 545535

GCF of denominators i.e. for 413,5908 is 7.

Thus, LCM of Fractions is 545535/7.Finally, LCM of Fractions for 2245/413, 1215/5908 is 545535/7.