Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 554/133, 7996/152 quickly i.e. 2214892/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 554/133, 7996/152 is 2214892/19.
LCM(554/133, 7996/152) = 2214892/19
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 554/133,7996/152
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 554,7996
Least Common Multiple of Numerators i.e. LCM of 554,7996 is 2214892.
GCF of Denominators means GCF of 133,152 as per the given fractions.
GCF of 133,152 is 19 as it is the largest common factor for these numbers.
Lets's calculate LCM of 554,7996
2 | 554, 7996 |
277, 3998 |
∴ So the LCM of the given numbers is 2 x 277 x 3998 = 2214892
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 554,7996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(554,7996) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(554,7996) x common factors =2 x 1 = 2
LCM(554,7996) = ( 554 × 7996 ) / 2
LCM(554,7996) = 4429784 / 2
LCM(554,7996) = 2214892
Lets's calculate GCF of 133,152
19 | 133, 152 |
7, 8 |
∴ So the GCF of the given numbers is 19 = 19
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2214892/19
Therefore the LCM of Fractions 554/133,7996/152 is 2214892/19
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 133,152 . The biggest common factor number is the GCF number.
So the greatest common factor 133,152 is 19.
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 554/133, 7996/152?
Answer: LCM of Numerators as per given numbers 554/133, 7996/152 is
LCM of Numerators i.e. for 554,7996 is 2214892
GCF of denominators i.e. for 133,152 is 19.
Thus, LCM of Fractions is 2214892/19.Finally, LCM of Fractions for 554/133, 7996/152 is 2214892/19.