Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 577/31, 295/76, 562/913 quickly i.e. 95660830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 577/31, 295/76, 562/913 is 95660830.
LCM(577/31, 295/76, 562/913) = 95660830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 577/31,295/76,562/913
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 577,295,562
Least Common Multiple of Numerators i.e. LCM of 577,295,562 is 95660830.
GCF of Denominators means GCF of 31,76,913 as per the given fractions.
GCF of 31,76,913 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 577,295,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 95660830
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 577,295,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,295,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,295,562) x common factors =1 x 1 = 1
LCM(577,295,562) = ( 577 × 295 × 562 ) / 1
LCM(577,295,562) = 95660830 / 1
LCM(577,295,562) = 95660830
Lets's calculate GCF of 31,76,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 95660830/1
Therefore the LCM of Fractions 577/31,295/76,562/913 is 95660830
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 31,76,913 . The biggest common factor number is the GCF number.
So the greatest common factor 31,76,913 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 577/31, 295/76, 562/913?
Answer: LCM of Numerators as per given numbers 577/31, 295/76, 562/913 is
LCM of Numerators i.e. for 577,295,562 is 95660830
GCF of denominators i.e. for 31,76,913 is 1.
Thus, LCM of Fractions is 95660830.Finally, LCM of Fractions for 577/31, 295/76, 562/913 is 95660830.