Least Common Multiple of 390/95, 315/8545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/95, 315/8545 quickly i.e. 1638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/95, 315/8545 is 1638.

LCM(390/95, 315/8545) = 1638

LCM of 390/95, 315/8545

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 390/95,315/8545

Given numbers are 390/95,315/8545

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 390,315

Least Common Multiple of Numerators i.e. LCM of 390,315 is 8190.

GCF of Denominators means GCF of 95,8545 as per the given fractions.

GCF of 95,8545 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,315

LCM of Fractions 390/95,315/8545 is 1638

3 390, 315
5 130, 105
26, 21

∴ So the LCM of the given numbers is 3 x 5 x 26 x 21 = 8190

Least Common Multiple of 390,315 with GCF Formula

Least Common Multiple of 390,315 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 390,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,315) = 15

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

GCF(390,315) x common factors =15 x 1 = 15

LCM(390,315) = ( 390 × 315 ) / 15

LCM(390,315) = 122850 / 15

LCM(390,315) = 8190


Lets's calculate GCF of 95,8545

5 95, 8545
19, 1709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8190/5

Therefore the LCM of Fractions 390/95,315/8545 is 1638

Greatest Common Factor of 95,8545 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,8545 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 8545

List of positive integer factors of 8545 that divides 8545 without a remainder.

1,5,1709,8545

Greatest Common Factor

We found the factors 95,8545 . The biggest common factor number is the GCF number.
So the greatest common factor 95,8545 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 390/95, 315/8545

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 390/95, 315/8545?

Answer: LCM of Numerators as per given numbers 390/95, 315/8545 is

LCM of Numerators i.e. for 390,315 is 8190

GCF of denominators i.e. for 95,8545 is 5.

Thus, LCM of Fractions is 1638.Finally, LCM of Fractions for 390/95, 315/8545 is 1638.