Least Common Multiple of 2909/415, 5825/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2909/415, 5825/315 quickly i.e. 3388985 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2909/415, 5825/315 is 3388985.

LCM(2909/415, 5825/315) = 3388985

LCM of 2909/415, 5825/315

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 2909/415,5825/315

Given numbers are 2909/415,5825/315

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 2909,5825

Least Common Multiple of Numerators i.e. LCM of 2909,5825 is 16944925.

GCF of Denominators means GCF of 415,315 as per the given fractions.

GCF of 415,315 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2909,5825

LCM of Fractions 2909/415,5825/315 is 3388985

Given numbers has no common factors except 1. So, there LCM is their product i.e 16944925

Least Common Multiple of 2909,5825 with GCF Formula

Least Common Multiple of 2909,5825 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 2909,5825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2909,5825) = 1

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

GCF(2909,5825) x common factors =1 x 1 = 1

LCM(2909,5825) = ( 2909 × 5825 ) / 1

LCM(2909,5825) = 16944925 / 1

LCM(2909,5825) = 16944925


Lets's calculate GCF of 415,315

5 415, 315
83, 63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16944925/5

Therefore the LCM of Fractions 2909/415,5825/315 is 3388985

Greatest Common Factor of 415,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,315 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 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 415,315 . The biggest common factor number is the GCF number.
So the greatest common factor 415,315 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 2909/415, 5825/315

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 2909/415, 5825/315?

Answer: LCM of Numerators as per given numbers 2909/415, 5825/315 is

LCM of Numerators i.e. for 2909,5825 is 16944925

GCF of denominators i.e. for 415,315 is 5.

Thus, LCM of Fractions is 3388985.Finally, LCM of Fractions for 2909/415, 5825/315 is 3388985.