Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9652/849, 4952/449 quickly i.e. 11949176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9652/849, 4952/449 is 11949176.
LCM(9652/849, 4952/449) = 11949176
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9652/849,4952/449
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 9652,4952
Least Common Multiple of Numerators i.e. LCM of 9652,4952 is 11949176.
GCF of Denominators means GCF of 849,449 as per the given fractions.
GCF of 849,449 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9652,4952
2 | 9652, 4952 |
2 | 4826, 2476 |
2413, 1238 |
∴ So the LCM of the given numbers is 2 x 2 x 2413 x 1238 = 11949176
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 9652,4952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9652,4952) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9652,4952) x common factors =4 x 1 = 4
LCM(9652,4952) = ( 9652 × 4952 ) / 4
LCM(9652,4952) = 47796704 / 4
LCM(9652,4952) = 11949176
Lets's calculate GCF of 849,449
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11949176/1
Therefore the LCM of Fractions 9652/849,4952/449 is 11949176
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Factors of 449
List of positive integer factors of 449 that divides 449 without a remainder.
1,449
Greatest Common Factor
We found the factors 849,449 . The biggest common factor number is the GCF number.
So the greatest common factor 849,449 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 9652/849, 4952/449?
Answer: LCM of Numerators as per given numbers 9652/849, 4952/449 is
LCM of Numerators i.e. for 9652,4952 is 11949176
GCF of denominators i.e. for 849,449 is 1.
Thus, LCM of Fractions is 11949176.Finally, LCM of Fractions for 9652/849, 4952/449 is 11949176.