Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 153/18, 436/9970 quickly i.e. 33354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 153/18, 436/9970 is 33354.
LCM(153/18, 436/9970) = 33354
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 153/18,436/9970
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 153,436
Least Common Multiple of Numerators i.e. LCM of 153,436 is 66708.
GCF of Denominators means GCF of 18,9970 as per the given fractions.
GCF of 18,9970 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 153,436
Given numbers has no common factors except 1. So, there LCM is their product i.e 66708
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 153,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(153,436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(153,436) x common factors =1 x 1 = 1
LCM(153,436) = ( 153 × 436 ) / 1
LCM(153,436) = 66708 / 1
LCM(153,436) = 66708
Lets's calculate GCF of 18,9970
2 | 18, 9970 |
9, 4985 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66708/2
Therefore the LCM of Fractions 153/18,436/9970 is 33354
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 9970
List of positive integer factors of 9970 that divides 9970 without a remainder.
1,2,5,10,997,1994,4985,9970
Greatest Common Factor
We found the factors 18,9970 . The biggest common factor number is the GCF number.
So the greatest common factor 18,9970 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 153/18, 436/9970?
Answer: LCM of Numerators as per given numbers 153/18, 436/9970 is
LCM of Numerators i.e. for 153,436 is 66708
GCF of denominators i.e. for 18,9970 is 2.
Thus, LCM of Fractions is 33354.Finally, LCM of Fractions for 153/18, 436/9970 is 33354.