Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/78, 73/134, 68/942 quickly i.e. 2482 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/78, 73/134, 68/942 is 2482.
LCM(4/78, 73/134, 68/942) = 2482
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/78,73/134,68/942
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 4,73,68
Least Common Multiple of Numerators i.e. LCM of 4,73,68 is 4964.
GCF of Denominators means GCF of 78,134,942 as per the given fractions.
GCF of 78,134,942 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,73,68
2 | 4, 73, 68 |
2 | 2, 73, 34 |
1, 73, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 73 x 17 = 4964
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 4,73,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,73,68) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(4,73,68) x common factors =1 x 4 = 4
LCM(4,73,68) = ( 4 × 73 × 68 ) / 4
LCM(4,73,68) = 19856 / 4
LCM(4,73,68) = 4964
Lets's calculate GCF of 78,134,942
2 | 78, 134, 942 |
39, 67, 471 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4964/2
Therefore the LCM of Fractions 4/78,73/134,68/942 is 2482
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 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 78,134,942 . The biggest common factor number is the GCF number.
So the greatest common factor 78,134,942 is 2.
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 4/78, 73/134, 68/942?
Answer: LCM of Numerators as per given numbers 4/78, 73/134, 68/942 is
LCM of Numerators i.e. for 4,73,68 is 4964
GCF of denominators i.e. for 78,134,942 is 2.
Thus, LCM of Fractions is 2482.Finally, LCM of Fractions for 4/78, 73/134, 68/942 is 2482.