Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/24, 27/25, 534/209 quickly i.e. 62478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/24, 27/25, 534/209 is 62478.
LCM(78/24, 27/25, 534/209) = 62478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/24,27/25,534/209
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 78,27,534
Least Common Multiple of Numerators i.e. LCM of 78,27,534 is 62478.
GCF of Denominators means GCF of 24,25,209 as per the given fractions.
GCF of 24,25,209 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,27,534
2 | 78, 27, 534 |
3 | 39, 27, 267 |
13, 9, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 9 x 89 = 62478
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 78,27,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,27,534) = 3
common factors(in case of two or more numbers have common factors) = 6
GCF(78,27,534) x common factors =3 x 6 = 18
LCM(78,27,534) = ( 78 × 27 × 534 ) / 18
LCM(78,27,534) = 1124604 / 18
LCM(78,27,534) = 62478
Lets's calculate GCF of 24,25,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62478/1
Therefore the LCM of Fractions 78/24,27/25,534/209 is 62478
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 24,25,209 . The biggest common factor number is the GCF number.
So the greatest common factor 24,25,209 is 1.
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 78/24, 27/25, 534/209?
Answer: LCM of Numerators as per given numbers 78/24, 27/25, 534/209 is
LCM of Numerators i.e. for 78,27,534 is 62478
GCF of denominators i.e. for 24,25,209 is 1.
Thus, LCM of Fractions is 62478.Finally, LCM of Fractions for 78/24, 27/25, 534/209 is 62478.