Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 157/93, 723/8187 quickly i.e. 37837 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 157/93, 723/8187 is 37837.
LCM(157/93, 723/8187) = 37837
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 157/93,723/8187
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 157,723
Least Common Multiple of Numerators i.e. LCM of 157,723 is 113511.
GCF of Denominators means GCF of 93,8187 as per the given fractions.
GCF of 93,8187 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 157,723
Given numbers has no common factors except 1. So, there LCM is their product i.e 113511
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 157,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,723) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,723) x common factors =1 x 1 = 1
LCM(157,723) = ( 157 × 723 ) / 1
LCM(157,723) = 113511 / 1
LCM(157,723) = 113511
Lets's calculate GCF of 93,8187
3 | 93, 8187 |
31, 2729 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113511/3
Therefore the LCM of Fractions 157/93,723/8187 is 37837
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 8187
List of positive integer factors of 8187 that divides 8187 without a remainder.
1,3,2729,8187
Greatest Common Factor
We found the factors 93,8187 . The biggest common factor number is the GCF number.
So the greatest common factor 93,8187 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 157/93, 723/8187?
Answer: LCM of Numerators as per given numbers 157/93, 723/8187 is
LCM of Numerators i.e. for 157,723 is 113511
GCF of denominators i.e. for 93,8187 is 3.
Thus, LCM of Fractions is 37837.Finally, LCM of Fractions for 157/93, 723/8187 is 37837.