Least Common Multiple of 72/315, 5874/4305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/315, 5874/4305 quickly i.e. 70488/105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/315, 5874/4305 is 70488/105.

LCM(72/315, 5874/4305) = 70488/105

LCM of 72/315, 5874/4305

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 72/315,5874/4305

Given numbers are 72/315,5874/4305

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 72,5874

Least Common Multiple of Numerators i.e. LCM of 72,5874 is 70488.

GCF of Denominators means GCF of 315,4305 as per the given fractions.

GCF of 315,4305 is 105 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,5874

LCM of Fractions 72/315,5874/4305 is 70488/105

2 72, 5874
3 36, 2937
12, 979

∴ So the LCM of the given numbers is 2 x 3 x 12 x 979 = 70488

Least Common Multiple of 72,5874 with GCF Formula

Least Common Multiple of 72,5874 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 72,5874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,5874) = 6

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

GCF(72,5874) x common factors =6 x 1 = 6

LCM(72,5874) = ( 72 × 5874 ) / 6

LCM(72,5874) = 422928 / 6

LCM(72,5874) = 70488


Lets's calculate GCF of 315,4305

3 315, 4305
5 105, 1435
7 21, 287
3, 41

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70488/105

Therefore the LCM of Fractions 72/315,5874/4305 is 70488/105

Greatest Common Factor of 315,4305 By Matching Biggest Common Factor Method

Greatest Common Factor of 315,4305 By Matching Biggest Common Factor Method

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

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Greatest Common Factor

We found the factors 315,4305 . The biggest common factor number is the GCF number.
So the greatest common factor 315,4305 is 105.


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 72/315, 5874/4305

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 72/315, 5874/4305?

Answer: LCM of Numerators as per given numbers 72/315, 5874/4305 is

LCM of Numerators i.e. for 72,5874 is 70488

GCF of denominators i.e. for 315,4305 is 105.

Thus, LCM of Fractions is 70488/105.Finally, LCM of Fractions for 72/315, 5874/4305 is 70488/105.