Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 636/18, 607/29, 245/735 quickly i.e. 94582740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 636/18, 607/29, 245/735 is 94582740.
LCM(636/18, 607/29, 245/735) = 94582740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 636/18,607/29,245/735
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 636,607,245
Least Common Multiple of Numerators i.e. LCM of 636,607,245 is 94582740.
GCF of Denominators means GCF of 18,29,735 as per the given fractions.
GCF of 18,29,735 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 636,607,245
Given numbers has no common factors except 1. So, there LCM is their product i.e 94582740
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 636,607,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(636,607,245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(636,607,245) x common factors =1 x 1 = 1
LCM(636,607,245) = ( 636 × 607 × 245 ) / 1
LCM(636,607,245) = 94582740 / 1
LCM(636,607,245) = 94582740
Lets's calculate GCF of 18,29,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94582740/1
Therefore the LCM of Fractions 636/18,607/29,245/735 is 94582740
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 18,29,735 . The biggest common factor number is the GCF number.
So the greatest common factor 18,29,735 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 636/18, 607/29, 245/735?
Answer: LCM of Numerators as per given numbers 636/18, 607/29, 245/735 is
LCM of Numerators i.e. for 636,607,245 is 94582740
GCF of denominators i.e. for 18,29,735 is 1.
Thus, LCM of Fractions is 94582740.Finally, LCM of Fractions for 636/18, 607/29, 245/735 is 94582740.