Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/712, 67/541, 95/258 quickly i.e. 50920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/712, 67/541, 95/258 is 50920.
LCM(8/712, 67/541, 95/258) = 50920
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/712,67/541,95/258
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 8,67,95
Least Common Multiple of Numerators i.e. LCM of 8,67,95 is 50920.
GCF of Denominators means GCF of 712,541,258 as per the given fractions.
GCF of 712,541,258 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,67,95
Given numbers has no common factors except 1. So, there LCM is their product i.e 50920
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 8,67,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,67,95) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,67,95) x common factors =1 x 1 = 1
LCM(8,67,95) = ( 8 × 67 × 95 ) / 1
LCM(8,67,95) = 50920 / 1
LCM(8,67,95) = 50920
Lets's calculate GCF of 712,541,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50920/1
Therefore the LCM of Fractions 8/712,67/541,95/258 is 50920
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 712,541,258 . The biggest common factor number is the GCF number.
So the greatest common factor 712,541,258 is 1.
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 8/712, 67/541, 95/258?
Answer: LCM of Numerators as per given numbers 8/712, 67/541, 95/258 is
LCM of Numerators i.e. for 8,67,95 is 50920
GCF of denominators i.e. for 712,541,258 is 1.
Thus, LCM of Fractions is 50920.Finally, LCM of Fractions for 8/712, 67/541, 95/258 is 50920.