Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/39, 80/60, 26/273 quickly i.e. 1040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/39, 80/60, 26/273 is 1040.
LCM(78/39, 80/60, 26/273) = 1040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/39,80/60,26/273
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 78,80,26
Least Common Multiple of Numerators i.e. LCM of 78,80,26 is 3120.
GCF of Denominators means GCF of 39,60,273 as per the given fractions.
GCF of 39,60,273 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,80,26
2 | 78, 80, 26 |
13 | 39, 40, 13 |
3, 40, 1 |
∴ So the LCM of the given numbers is 2 x 13 x 3 x 40 x 1 = 3120
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 78,80,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,80,26) = 2
common factors(in case of two or more numbers have common factors) = 26
GCF(78,80,26) x common factors =2 x 26 = 52
LCM(78,80,26) = ( 78 × 80 × 26 ) / 52
LCM(78,80,26) = 162240 / 52
LCM(78,80,26) = 3120
Lets's calculate GCF of 39,60,273
3 | 39, 60, 273 |
13, 20, 91 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/3
Therefore the LCM of Fractions 78/39,80/60,26/273 is 1040
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 39,60,273 . The biggest common factor number is the GCF number.
So the greatest common factor 39,60,273 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 78/39, 80/60, 26/273?
Answer: LCM of Numerators as per given numbers 78/39, 80/60, 26/273 is
LCM of Numerators i.e. for 78,80,26 is 3120
GCF of denominators i.e. for 39,60,273 is 3.
Thus, LCM of Fractions is 1040.Finally, LCM of Fractions for 78/39, 80/60, 26/273 is 1040.