Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/568, 356/992, 151/941 quickly i.e. 5214332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/568, 356/992, 151/941 is 5214332.
LCM(97/568, 356/992, 151/941) = 5214332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/568,356/992,151/941
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 97,356,151
Least Common Multiple of Numerators i.e. LCM of 97,356,151 is 5214332.
GCF of Denominators means GCF of 568,992,941 as per the given fractions.
GCF of 568,992,941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,356,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 5214332
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 97,356,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,356,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,356,151) x common factors =1 x 1 = 1
LCM(97,356,151) = ( 97 × 356 × 151 ) / 1
LCM(97,356,151) = 5214332 / 1
LCM(97,356,151) = 5214332
Lets's calculate GCF of 568,992,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5214332/1
Therefore the LCM of Fractions 97/568,356/992,151/941 is 5214332
Factors of 568
List of positive integer factors of 568 that divides 568 without a remainder.
1,2,4,8,71,142,284,568
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 568,992,941 . The biggest common factor number is the GCF number.
So the greatest common factor 568,992,941 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 97/568, 356/992, 151/941?
Answer: LCM of Numerators as per given numbers 97/568, 356/992, 151/941 is
LCM of Numerators i.e. for 97,356,151 is 5214332
GCF of denominators i.e. for 568,992,941 is 1.
Thus, LCM of Fractions is 5214332.Finally, LCM of Fractions for 97/568, 356/992, 151/941 is 5214332.