Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/98, 65/52, 66/36, 98/432 quickly i.e. 210210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/98, 65/52, 66/36, 98/432 is 210210.
LCM(12/98, 65/52, 66/36, 98/432) = 210210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/98,65/52,66/36,98/432
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 12,65,66,98
Least Common Multiple of Numerators i.e. LCM of 12,65,66,98 is 420420.
GCF of Denominators means GCF of 98,52,36,432 as per the given fractions.
GCF of 98,52,36,432 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,65,66,98
2 | 12, 65, 66, 98 |
3 | 6, 65, 33, 49 |
2, 65, 11, 49 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 65 x 11 x 49 = 420420
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 12,65,66,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,65,66,98) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(12,65,66,98) x common factors =1 x 12 = 12
LCM(12,65,66,98) = ( 12 × 65 × 66 × 98 ) / 12
LCM(12,65,66,98) = 5045040 / 12
LCM(12,65,66,98) = 420420
Lets's calculate GCF of 98,52,36,432
2 | 98, 52, 36, 432 |
49, 26, 18, 216 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 420420/2
Therefore the LCM of Fractions 12/98,65/52,66/36,98/432 is 210210
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 98,52,36,432 . The biggest common factor number is the GCF number.
So the greatest common factor 98,52,36,432 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 12/98, 65/52, 66/36, 98/432?
Answer: LCM of Numerators as per given numbers 12/98, 65/52, 66/36, 98/432 is
LCM of Numerators i.e. for 12,65,66,98 is 420420
GCF of denominators i.e. for 98,52,36,432 is 2.
Thus, LCM of Fractions is 210210.Finally, LCM of Fractions for 12/98, 65/52, 66/36, 98/432 is 210210.