Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/54, 9816/414 quickly i.e. 1541112/18 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/54, 9816/414 is 1541112/18.
LCM(157/54, 9816/414) = 1541112/18
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/54,9816/414
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 157,9816
Least Common Multiple of Numerators i.e. LCM of 157,9816 is 1541112.
GCF of Denominators means GCF of 54,414 as per the given fractions.
GCF of 54,414 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,9816
Given numbers has no common factors except 1. So, there LCM is their product i.e 1541112
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 157,9816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,9816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,9816) x common factors =1 x 1 = 1
LCM(157,9816) = ( 157 × 9816 ) / 1
LCM(157,9816) = 1541112 / 1
LCM(157,9816) = 1541112
Lets's calculate GCF of 54,414
2 | 54, 414 |
3 | 27, 207 |
3 | 9, 69 |
3, 23 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1541112/18
Therefore the LCM of Fractions 157/54,9816/414 is 1541112/18
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Greatest Common Factor
We found the factors 54,414 . The biggest common factor number is the GCF number.
So the greatest common factor 54,414 is 18.
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 157/54, 9816/414?
Answer: LCM of Numerators as per given numbers 157/54, 9816/414 is
LCM of Numerators i.e. for 157,9816 is 1541112
GCF of denominators i.e. for 54,414 is 18.
Thus, LCM of Fractions is 1541112/18.Finally, LCM of Fractions for 157/54, 9816/414 is 1541112/18.