Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 818/64, 179/6950 quickly i.e. 73211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 818/64, 179/6950 is 73211.
LCM(818/64, 179/6950) = 73211
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 818/64,179/6950
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 818,179
Least Common Multiple of Numerators i.e. LCM of 818,179 is 146422.
GCF of Denominators means GCF of 64,6950 as per the given fractions.
GCF of 64,6950 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 818,179
Given numbers has no common factors except 1. So, there LCM is their product i.e 146422
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 818,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,179) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(818,179) x common factors =1 x 1 = 1
LCM(818,179) = ( 818 × 179 ) / 1
LCM(818,179) = 146422 / 1
LCM(818,179) = 146422
Lets's calculate GCF of 64,6950
2 | 64, 6950 |
32, 3475 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146422/2
Therefore the LCM of Fractions 818/64,179/6950 is 73211
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 6950
List of positive integer factors of 6950 that divides 6950 without a remainder.
1,2,5,10,25,50,139,278,695,1390,3475,6950
Greatest Common Factor
We found the factors 64,6950 . The biggest common factor number is the GCF number.
So the greatest common factor 64,6950 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 818/64, 179/6950?
Answer: LCM of Numerators as per given numbers 818/64, 179/6950 is
LCM of Numerators i.e. for 818,179 is 146422
GCF of denominators i.e. for 64,6950 is 2.
Thus, LCM of Fractions is 73211.Finally, LCM of Fractions for 818/64, 179/6950 is 73211.