Least Common Multiple of 390/18, 748/39, 688/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/18, 748/39, 688/447 quickly i.e. 8362640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/18, 748/39, 688/447 is 8362640.

LCM(390/18, 748/39, 688/447) = 8362640

LCM of 390/18, 748/39, 688/447

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 390/18,748/39,688/447

Given numbers are 390/18,748/39,688/447

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 390,748,688

Least Common Multiple of Numerators i.e. LCM of 390,748,688 is 25087920.

GCF of Denominators means GCF of 18,39,447 as per the given fractions.

GCF of 18,39,447 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,748,688

LCM of Fractions 390/18,748/39,688/447 is 8362640

2 390, 748, 688
2 195, 374, 344
195, 187, 172

∴ So the LCM of the given numbers is 2 x 2 x 195 x 187 x 172 = 25087920

Least Common Multiple of 390,748,688 with GCF Formula

Least Common Multiple of 390,748,688 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 390,748,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,748,688) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(390,748,688) x common factors =2 x 4 = 8

LCM(390,748,688) = ( 390 × 748 × 688 ) / 8

LCM(390,748,688) = 200703360 / 8

LCM(390,748,688) = 25087920


Lets's calculate GCF of 18,39,447

3 18, 39, 447
6, 13, 149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25087920/3

Therefore the LCM of Fractions 390/18,748/39,688/447 is 8362640

Greatest Common Factor of 18,39,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,39,447 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 18,39,447 . The biggest common factor number is the GCF number.
So the greatest common factor 18,39,447 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 390/18, 748/39, 688/447

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 390/18, 748/39, 688/447?

Answer: LCM of Numerators as per given numbers 390/18, 748/39, 688/447 is

LCM of Numerators i.e. for 390,748,688 is 25087920

GCF of denominators i.e. for 18,39,447 is 3.

Thus, LCM of Fractions is 8362640.Finally, LCM of Fractions for 390/18, 748/39, 688/447 is 8362640.