Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/84, 98/24, 21/78 quickly i.e. 3577 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/84, 98/24, 21/78 is 3577.
LCM(73/84, 98/24, 21/78) = 3577
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/84,98/24,21/78
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 73,98,21
Least Common Multiple of Numerators i.e. LCM of 73,98,21 is 21462.
GCF of Denominators means GCF of 84,24,78 as per the given fractions.
GCF of 84,24,78 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,98,21
7 | 73, 98, 21 |
73, 14, 3 |
∴ So the LCM of the given numbers is 7 x 73 x 14 x 3 = 21462
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 73,98,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,98,21) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(73,98,21) x common factors =1 x 7 = 7
LCM(73,98,21) = ( 73 × 98 × 21 ) / 7
LCM(73,98,21) = 150234 / 7
LCM(73,98,21) = 21462
Lets's calculate GCF of 84,24,78
2 | 84, 24, 78 |
3 | 42, 12, 39 |
14, 4, 13 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21462/6
Therefore the LCM of Fractions 73/84,98/24,21/78 is 3577
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
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 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Greatest Common Factor
We found the factors 84,24,78 . The biggest common factor number is the GCF number.
So the greatest common factor 84,24,78 is 6.
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 73/84, 98/24, 21/78?
Answer: LCM of Numerators as per given numbers 73/84, 98/24, 21/78 is
LCM of Numerators i.e. for 73,98,21 is 21462
GCF of denominators i.e. for 84,24,78 is 6.
Thus, LCM of Fractions is 3577.Finally, LCM of Fractions for 73/84, 98/24, 21/78 is 3577.