Least Common Multiple of 39/81, 68/55, 69/54, 78/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/81, 68/55, 69/54, 78/890 quickly i.e. 60996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/81, 68/55, 69/54, 78/890 is 60996.

LCM(39/81, 68/55, 69/54, 78/890) = 60996

LCM of 39/81, 68/55, 69/54, 78/890

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 39/81,68/55,69/54,78/890

Given numbers are 39/81,68/55,69/54,78/890

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 39,68,69,78

Least Common Multiple of Numerators i.e. LCM of 39,68,69,78 is 60996.

GCF of Denominators means GCF of 81,55,54,890 as per the given fractions.

GCF of 81,55,54,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,68,69,78

LCM of Fractions 39/81,68/55,69/54,78/890 is 60996

2 39, 68, 69, 78
3 39, 34, 69, 39
13 13, 34, 23, 13
1, 34, 23, 1

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 34 x 23 x 1 = 60996

Least Common Multiple of 39,68,69,78 with GCF Formula

Least Common Multiple of 39,68,69,78 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 39,68,69,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,68,69,78) = 1

common factors(in case of two or more numbers have common factors) = 234

GCF(39,68,69,78) x common factors =1 x 234 = 234

LCM(39,68,69,78) = ( 39 × 68 × 69 × 78 ) / 234

LCM(39,68,69,78) = 14273064 / 234

LCM(39,68,69,78) = 60996


Lets's calculate GCF of 81,55,54,890

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60996/1

Therefore the LCM of Fractions 39/81,68/55,69/54,78/890 is 60996

Greatest Common Factor of 81,55,54,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,55,54,890 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

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 81,55,54,890 . The biggest common factor number is the GCF number.
So the greatest common factor 81,55,54,890 is 1.


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 39/81, 68/55, 69/54, 78/890

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 39/81, 68/55, 69/54, 78/890?

Answer: LCM of Numerators as per given numbers 39/81, 68/55, 69/54, 78/890 is

LCM of Numerators i.e. for 39,68,69,78 is 60996

GCF of denominators i.e. for 81,55,54,890 is 1.

Thus, LCM of Fractions is 60996.Finally, LCM of Fractions for 39/81, 68/55, 69/54, 78/890 is 60996.