Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/90, 63/388, 325/746 quickly i.e. 348075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/90, 63/388, 325/746 is 348075.
LCM(34/90, 63/388, 325/746) = 348075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/90,63/388,325/746
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 34,63,325
Least Common Multiple of Numerators i.e. LCM of 34,63,325 is 696150.
GCF of Denominators means GCF of 90,388,746 as per the given fractions.
GCF of 90,388,746 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,63,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 696150
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 34,63,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,63,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(34,63,325) x common factors =1 x 1 = 1
LCM(34,63,325) = ( 34 × 63 × 325 ) / 1
LCM(34,63,325) = 696150 / 1
LCM(34,63,325) = 696150
Lets's calculate GCF of 90,388,746
2 | 90, 388, 746 |
45, 194, 373 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 696150/2
Therefore the LCM of Fractions 34/90,63/388,325/746 is 348075
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 90,388,746 . The biggest common factor number is the GCF number.
So the greatest common factor 90,388,746 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 34/90, 63/388, 325/746?
Answer: LCM of Numerators as per given numbers 34/90, 63/388, 325/746 is
LCM of Numerators i.e. for 34,63,325 is 696150
GCF of denominators i.e. for 90,388,746 is 2.
Thus, LCM of Fractions is 348075.Finally, LCM of Fractions for 34/90, 63/388, 325/746 is 348075.