Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 136/397, 100/763, 331/925 quickly i.e. 1125400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 136/397, 100/763, 331/925 is 1125400.
LCM(136/397, 100/763, 331/925) = 1125400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 136/397,100/763,331/925
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 136,100,331
Least Common Multiple of Numerators i.e. LCM of 136,100,331 is 1125400.
GCF of Denominators means GCF of 397,763,925 as per the given fractions.
GCF of 397,763,925 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 136,100,331
2 | 136, 100, 331 |
2 | 68, 50, 331 |
34, 25, 331 |
∴ So the LCM of the given numbers is 2 x 2 x 34 x 25 x 331 = 1125400
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 136,100,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(136,100,331) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(136,100,331) x common factors =1 x 4 = 4
LCM(136,100,331) = ( 136 × 100 × 331 ) / 4
LCM(136,100,331) = 4501600 / 4
LCM(136,100,331) = 1125400
Lets's calculate GCF of 397,763,925
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1125400/1
Therefore the LCM of Fractions 136/397,100/763,331/925 is 1125400
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Greatest Common Factor
We found the factors 397,763,925 . The biggest common factor number is the GCF number.
So the greatest common factor 397,763,925 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 136/397, 100/763, 331/925?
Answer: LCM of Numerators as per given numbers 136/397, 100/763, 331/925 is
LCM of Numerators i.e. for 136,100,331 is 1125400
GCF of denominators i.e. for 397,763,925 is 1.
Thus, LCM of Fractions is 1125400.Finally, LCM of Fractions for 136/397, 100/763, 331/925 is 1125400.