Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 536/99, 447/24, 962/636 quickly i.e. 38414584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 536/99, 447/24, 962/636 is 38414584.
LCM(536/99, 447/24, 962/636) = 38414584
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 536/99,447/24,962/636
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 536,447,962
Least Common Multiple of Numerators i.e. LCM of 536,447,962 is 115243752.
GCF of Denominators means GCF of 99,24,636 as per the given fractions.
GCF of 99,24,636 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 536,447,962
2 | 536, 447, 962 |
268, 447, 481 |
∴ So the LCM of the given numbers is 2 x 268 x 447 x 481 = 115243752
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 536,447,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,447,962) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(536,447,962) x common factors =1 x 2 = 2
LCM(536,447,962) = ( 536 × 447 × 962 ) / 2
LCM(536,447,962) = 230487504 / 2
LCM(536,447,962) = 115243752
Lets's calculate GCF of 99,24,636
3 | 99, 24, 636 |
33, 8, 212 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115243752/3
Therefore the LCM of Fractions 536/99,447/24,962/636 is 38414584
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 99,24,636 . The biggest common factor number is the GCF number.
So the greatest common factor 99,24,636 is 3.
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 536/99, 447/24, 962/636?
Answer: LCM of Numerators as per given numbers 536/99, 447/24, 962/636 is
LCM of Numerators i.e. for 536,447,962 is 115243752
GCF of denominators i.e. for 99,24,636 is 3.
Thus, LCM of Fractions is 38414584.Finally, LCM of Fractions for 536/99, 447/24, 962/636 is 38414584.