Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/602, 353/728, 997/901 quickly i.e. 33434395 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/602, 353/728, 997/901 is 33434395.
LCM(95/602, 353/728, 997/901) = 33434395
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/602,353/728,997/901
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 95,353,997
Least Common Multiple of Numerators i.e. LCM of 95,353,997 is 33434395.
GCF of Denominators means GCF of 602,728,901 as per the given fractions.
GCF of 602,728,901 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,353,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 33434395
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 95,353,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,353,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,353,997) x common factors =1 x 1 = 1
LCM(95,353,997) = ( 95 × 353 × 997 ) / 1
LCM(95,353,997) = 33434395 / 1
LCM(95,353,997) = 33434395
Lets's calculate GCF of 602,728,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33434395/1
Therefore the LCM of Fractions 95/602,353/728,997/901 is 33434395
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 728
List of positive integer factors of 728 that divides 728 without a remainder.
1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 602,728,901 . The biggest common factor number is the GCF number.
So the greatest common factor 602,728,901 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 95/602, 353/728, 997/901?
Answer: LCM of Numerators as per given numbers 95/602, 353/728, 997/901 is
LCM of Numerators i.e. for 95,353,997 is 33434395
GCF of denominators i.e. for 602,728,901 is 1.
Thus, LCM of Fractions is 33434395.Finally, LCM of Fractions for 95/602, 353/728, 997/901 is 33434395.