Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/22, 72/68, 49/76, 99/832 quickly i.e. 19404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/22, 72/68, 49/76, 99/832 is 19404.
LCM(12/22, 72/68, 49/76, 99/832) = 19404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/22,72/68,49/76,99/832
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 12,72,49,99
Least Common Multiple of Numerators i.e. LCM of 12,72,49,99 is 38808.
GCF of Denominators means GCF of 22,68,76,832 as per the given fractions.
GCF of 22,68,76,832 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,72,49,99
2 | 12, 72, 49, 99 |
2 | 6, 36, 49, 99 |
3 | 3, 18, 49, 99 |
3 | 1, 6, 49, 33 |
1, 2, 49, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 2 x 49 x 11 = 38808
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 12,72,49,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,72,49,99) = 1
common factors(in case of two or more numbers have common factors) = 108
GCF(12,72,49,99) x common factors =1 x 108 = 108
LCM(12,72,49,99) = ( 12 × 72 × 49 × 99 ) / 108
LCM(12,72,49,99) = 4191264 / 108
LCM(12,72,49,99) = 38808
Lets's calculate GCF of 22,68,76,832
2 | 22, 68, 76, 832 |
11, 34, 38, 416 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38808/2
Therefore the LCM of Fractions 12/22,72/68,49/76,99/832 is 19404
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 22,68,76,832 . The biggest common factor number is the GCF number.
So the greatest common factor 22,68,76,832 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 12/22, 72/68, 49/76, 99/832?
Answer: LCM of Numerators as per given numbers 12/22, 72/68, 49/76, 99/832 is
LCM of Numerators i.e. for 12,72,49,99 is 38808
GCF of denominators i.e. for 22,68,76,832 is 2.
Thus, LCM of Fractions is 19404.Finally, LCM of Fractions for 12/22, 72/68, 49/76, 99/832 is 19404.