Least Common Multiple of 465/15, 7599/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/15, 7599/312 quickly i.e. 392615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/15, 7599/312 is 392615.

LCM(465/15, 7599/312) = 392615

LCM of 465/15, 7599/312

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 465/15,7599/312

Given numbers are 465/15,7599/312

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 465,7599

Least Common Multiple of Numerators i.e. LCM of 465,7599 is 1177845.

GCF of Denominators means GCF of 15,312 as per the given fractions.

GCF of 15,312 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,7599

LCM of Fractions 465/15,7599/312 is 392615

3 465, 7599
155, 2533

∴ So the LCM of the given numbers is 3 x 155 x 2533 = 1177845

Least Common Multiple of 465,7599 with GCF Formula

Least Common Multiple of 465,7599 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 465,7599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,7599) = 3

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

GCF(465,7599) x common factors =3 x 1 = 3

LCM(465,7599) = ( 465 × 7599 ) / 3

LCM(465,7599) = 3533535 / 3

LCM(465,7599) = 1177845


Lets's calculate GCF of 15,312

3 15, 312
5, 104

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1177845/3

Therefore the LCM of Fractions 465/15,7599/312 is 392615

Greatest Common Factor of 15,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,312 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 15,312 . The biggest common factor number is the GCF number.
So the greatest common factor 15,312 is 3.


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 465/15, 7599/312

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 465/15, 7599/312?

Answer: LCM of Numerators as per given numbers 465/15, 7599/312 is

LCM of Numerators i.e. for 465,7599 is 1177845

GCF of denominators i.e. for 15,312 is 3.

Thus, LCM of Fractions is 392615.Finally, LCM of Fractions for 465/15, 7599/312 is 392615.