Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 78/67, 483/35, 164/316 quickly i.e. 1029756 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 78/67, 483/35, 164/316 is 1029756.
LCM(78/67, 483/35, 164/316) = 1029756
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 78/67,483/35,164/316
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 78,483,164
Least Common Multiple of Numerators i.e. LCM of 78,483,164 is 1029756.
GCF of Denominators means GCF of 67,35,316 as per the given fractions.
GCF of 67,35,316 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 78,483,164
2 | 78, 483, 164 |
3 | 39, 483, 82 |
13, 161, 82 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 161 x 82 = 1029756
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 78,483,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,483,164) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(78,483,164) x common factors =1 x 6 = 6
LCM(78,483,164) = ( 78 × 483 × 164 ) / 6
LCM(78,483,164) = 6178536 / 6
LCM(78,483,164) = 1029756
Lets's calculate GCF of 67,35,316
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1029756/1
Therefore the LCM of Fractions 78/67,483/35,164/316 is 1029756
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
Greatest Common Factor
We found the factors 67,35,316 . The biggest common factor number is the GCF number.
So the greatest common factor 67,35,316 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 78/67, 483/35, 164/316?
Answer: LCM of Numerators as per given numbers 78/67, 483/35, 164/316 is
LCM of Numerators i.e. for 78,483,164 is 1029756
GCF of denominators i.e. for 67,35,316 is 1.
Thus, LCM of Fractions is 1029756.Finally, LCM of Fractions for 78/67, 483/35, 164/316 is 1029756.