Least Common Multiple of 78/78, 31/16, 17/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/78, 31/16, 17/10 quickly i.e. 20553 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/78, 31/16, 17/10 is 20553.

LCM(78/78, 31/16, 17/10) = 20553

LCM of 78/78, 31/16, 17/10

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 78/78,31/16,17/10

Given numbers are 78/78,31/16,17/10

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 78,31,17

Least Common Multiple of Numerators i.e. LCM of 78,31,17 is 41106.

GCF of Denominators means GCF of 78,16,10 as per the given fractions.

GCF of 78,16,10 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,31,17

LCM of Fractions 78/78,31/16,17/10 is 20553

Given numbers has no common factors except 1. So, there LCM is their product i.e 41106

Least Common Multiple of 78,31,17 with GCF Formula

Least Common Multiple of 78,31,17 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 78,31,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,31,17) = 1

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

GCF(78,31,17) x common factors =1 x 1 = 1

LCM(78,31,17) = ( 78 × 31 × 17 ) / 1

LCM(78,31,17) = 41106 / 1

LCM(78,31,17) = 41106


Lets's calculate GCF of 78,16,10

2 78, 16, 10
39, 8, 5

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41106/2

Therefore the LCM of Fractions 78/78,31/16,17/10 is 20553

Greatest Common Factor of 78,16,10 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,16,10 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Greatest Common Factor

We found the factors 78,16,10 . The biggest common factor number is the GCF number.
So the greatest common factor 78,16,10 is 2.


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 78/78, 31/16, 17/10

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 78/78, 31/16, 17/10?

Answer: LCM of Numerators as per given numbers 78/78, 31/16, 17/10 is

LCM of Numerators i.e. for 78,31,17 is 41106

GCF of denominators i.e. for 78,16,10 is 2.

Thus, LCM of Fractions is 20553.Finally, LCM of Fractions for 78/78, 31/16, 17/10 is 20553.