Least Common Multiple of 39/20, 42/40, 609/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/20, 42/40, 609/890 quickly i.e. 15834/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/20, 42/40, 609/890 is 15834/10.

LCM(39/20, 42/40, 609/890) = 15834/10

LCM of 39/20, 42/40, 609/890

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 39/20,42/40,609/890

Given numbers are 39/20,42/40,609/890

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 39,42,609

Least Common Multiple of Numerators i.e. LCM of 39,42,609 is 15834.

GCF of Denominators means GCF of 20,40,890 as per the given fractions.

GCF of 20,40,890 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,42,609

LCM of Fractions 39/20,42/40,609/890 is 15834/10

3 39, 42, 609
7 13, 14, 203
13, 2, 29

∴ So the LCM of the given numbers is 3 x 7 x 13 x 2 x 29 = 15834

Least Common Multiple of 39,42,609 with GCF Formula

Least Common Multiple of 39,42,609 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 39,42,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,42,609) = 3

common factors(in case of two or more numbers have common factors) = 21

GCF(39,42,609) x common factors =3 x 21 = 63

LCM(39,42,609) = ( 39 × 42 × 609 ) / 63

LCM(39,42,609) = 997542 / 63

LCM(39,42,609) = 15834


Lets's calculate GCF of 20,40,890

2 20, 40, 890
5 10, 20, 445
2, 4, 89

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15834/10

Therefore the LCM of Fractions 39/20,42/40,609/890 is 15834/10

Greatest Common Factor of 20,40,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,40,890 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 20,40,890 . The biggest common factor number is the GCF number.
So the greatest common factor 20,40,890 is 10.


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 39/20, 42/40, 609/890

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 39/20, 42/40, 609/890?

Answer: LCM of Numerators as per given numbers 39/20, 42/40, 609/890 is

LCM of Numerators i.e. for 39,42,609 is 15834

GCF of denominators i.e. for 20,40,890 is 10.

Thus, LCM of Fractions is 15834/10.Finally, LCM of Fractions for 39/20, 42/40, 609/890 is 15834/10.