Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/39, 75/38, 607/364 quickly i.e. 4279350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/39, 75/38, 607/364 is 4279350.
LCM(94/39, 75/38, 607/364) = 4279350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/39,75/38,607/364
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 94,75,607
Least Common Multiple of Numerators i.e. LCM of 94,75,607 is 4279350.
GCF of Denominators means GCF of 39,38,364 as per the given fractions.
GCF of 39,38,364 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,75,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 4279350
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 94,75,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,75,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,75,607) x common factors =1 x 1 = 1
LCM(94,75,607) = ( 94 × 75 × 607 ) / 1
LCM(94,75,607) = 4279350 / 1
LCM(94,75,607) = 4279350
Lets's calculate GCF of 39,38,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4279350/1
Therefore the LCM of Fractions 94/39,75/38,607/364 is 4279350
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 39,38,364 . The biggest common factor number is the GCF number.
So the greatest common factor 39,38,364 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 94/39, 75/38, 607/364?
Answer: LCM of Numerators as per given numbers 94/39, 75/38, 607/364 is
LCM of Numerators i.e. for 94,75,607 is 4279350
GCF of denominators i.e. for 39,38,364 is 1.
Thus, LCM of Fractions is 4279350.Finally, LCM of Fractions for 94/39, 75/38, 607/364 is 4279350.