Least Common Multiple of 390/240, 456/870, 442/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 390/240, 456/870, 442/195 quickly i.e. 33592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 390/240, 456/870, 442/195 is 33592.

LCM(390/240, 456/870, 442/195) = 33592

LCM of 390/240, 456/870, 442/195

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 390/240,456/870,442/195

Given numbers are 390/240,456/870,442/195

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 390,456,442

Least Common Multiple of Numerators i.e. LCM of 390,456,442 is 503880.

GCF of Denominators means GCF of 240,870,195 as per the given fractions.

GCF of 240,870,195 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 390,456,442

LCM of Fractions 390/240,456/870,442/195 is 33592

2 390, 456, 442
3 195, 228, 221
13 65, 76, 221
5, 76, 17

∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 76 x 17 = 503880

Least Common Multiple of 390,456,442 with GCF Formula

Least Common Multiple of 390,456,442 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 390,456,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,456,442) = 2

common factors(in case of two or more numbers have common factors) = 78

GCF(390,456,442) x common factors =2 x 78 = 156

LCM(390,456,442) = ( 390 × 456 × 442 ) / 156

LCM(390,456,442) = 78605280 / 156

LCM(390,456,442) = 503880


Lets's calculate GCF of 240,870,195

3 240, 870, 195
5 80, 290, 65
16, 58, 13

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503880/15

Therefore the LCM of Fractions 390/240,456/870,442/195 is 33592

Greatest Common Factor of 240,870,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,870,195 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 240,870,195 . The biggest common factor number is the GCF number.
So the greatest common factor 240,870,195 is 15.


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 390/240, 456/870, 442/195

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 390/240, 456/870, 442/195?

Answer: LCM of Numerators as per given numbers 390/240, 456/870, 442/195 is

LCM of Numerators i.e. for 390,456,442 is 503880

GCF of denominators i.e. for 240,870,195 is 15.

Thus, LCM of Fractions is 33592.Finally, LCM of Fractions for 390/240, 456/870, 442/195 is 33592.