Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/436, 9756/2030 quickly i.e. 239022 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/436, 9756/2030 is 239022.
LCM(49/436, 9756/2030) = 239022
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/436,9756/2030
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 49,9756
Least Common Multiple of Numerators i.e. LCM of 49,9756 is 478044.
GCF of Denominators means GCF of 436,2030 as per the given fractions.
GCF of 436,2030 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,9756
Given numbers has no common factors except 1. So, there LCM is their product i.e 478044
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 49,9756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,9756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(49,9756) x common factors =1 x 1 = 1
LCM(49,9756) = ( 49 × 9756 ) / 1
LCM(49,9756) = 478044 / 1
LCM(49,9756) = 478044
Lets's calculate GCF of 436,2030
2 | 436, 2030 |
218, 1015 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 478044/2
Therefore the LCM of Fractions 49/436,9756/2030 is 239022
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 2030
List of positive integer factors of 2030 that divides 2030 without a remainder.
1,2,5,7,10,14,29,35,58,70,145,203,290,406,1015,2030
Greatest Common Factor
We found the factors 436,2030 . The biggest common factor number is the GCF number.
So the greatest common factor 436,2030 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 49/436, 9756/2030?
Answer: LCM of Numerators as per given numbers 49/436, 9756/2030 is
LCM of Numerators i.e. for 49,9756 is 478044
GCF of denominators i.e. for 436,2030 is 2.
Thus, LCM of Fractions is 239022.Finally, LCM of Fractions for 49/436, 9756/2030 is 239022.