Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/604, 1939/9016 quickly i.e. 19390/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/604, 1939/9016 is 19390/4.
LCM(70/604, 1939/9016) = 19390/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/604,1939/9016
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 70,1939
Least Common Multiple of Numerators i.e. LCM of 70,1939 is 19390.
GCF of Denominators means GCF of 604,9016 as per the given fractions.
GCF of 604,9016 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,1939
7 | 70, 1939 |
10, 277 |
∴ So the LCM of the given numbers is 7 x 10 x 277 = 19390
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 70,1939 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,1939) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(70,1939) x common factors =7 x 1 = 7
LCM(70,1939) = ( 70 × 1939 ) / 7
LCM(70,1939) = 135730 / 7
LCM(70,1939) = 19390
Lets's calculate GCF of 604,9016
2 | 604, 9016 |
2 | 302, 4508 |
151, 2254 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19390/4
Therefore the LCM of Fractions 70/604,1939/9016 is 19390/4
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 9016
List of positive integer factors of 9016 that divides 9016 without a remainder.
1,2,4,7,8,14,23,28,46,49,56,92,98,161,184,196,322,392,644,1127,1288,2254,4508,9016
Greatest Common Factor
We found the factors 604,9016 . The biggest common factor number is the GCF number.
So the greatest common factor 604,9016 is 4.
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 70/604, 1939/9016?
Answer: LCM of Numerators as per given numbers 70/604, 1939/9016 is
LCM of Numerators i.e. for 70,1939 is 19390
GCF of denominators i.e. for 604,9016 is 4.
Thus, LCM of Fractions is 19390/4.Finally, LCM of Fractions for 70/604, 1939/9016 is 19390/4.