Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/515, 232/157, 625/534 quickly i.e. 11165000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/515, 232/157, 625/534 is 11165000.
LCM(77/515, 232/157, 625/534) = 11165000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/515,232/157,625/534
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 77,232,625
Least Common Multiple of Numerators i.e. LCM of 77,232,625 is 11165000.
GCF of Denominators means GCF of 515,157,534 as per the given fractions.
GCF of 515,157,534 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,232,625
Given numbers has no common factors except 1. So, there LCM is their product i.e 11165000
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 77,232,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,232,625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,232,625) x common factors =1 x 1 = 1
LCM(77,232,625) = ( 77 × 232 × 625 ) / 1
LCM(77,232,625) = 11165000 / 1
LCM(77,232,625) = 11165000
Lets's calculate GCF of 515,157,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11165000/1
Therefore the LCM of Fractions 77/515,232/157,625/534 is 11165000
Factors of 515
List of positive integer factors of 515 that divides 515 without a remainder.
1,5,103,515
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 515,157,534 . The biggest common factor number is the GCF number.
So the greatest common factor 515,157,534 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 77/515, 232/157, 625/534?
Answer: LCM of Numerators as per given numbers 77/515, 232/157, 625/534 is
LCM of Numerators i.e. for 77,232,625 is 11165000
GCF of denominators i.e. for 515,157,534 is 1.
Thus, LCM of Fractions is 11165000.Finally, LCM of Fractions for 77/515, 232/157, 625/534 is 11165000.