Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 331/651, 5760/954 quickly i.e. 635520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 331/651, 5760/954 is 635520.
LCM(331/651, 5760/954) = 635520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 331/651,5760/954
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 331,5760
Least Common Multiple of Numerators i.e. LCM of 331,5760 is 1906560.
GCF of Denominators means GCF of 651,954 as per the given fractions.
GCF of 651,954 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 331,5760
Given numbers has no common factors except 1. So, there LCM is their product i.e 1906560
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 331,5760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(331,5760) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(331,5760) x common factors =1 x 1 = 1
LCM(331,5760) = ( 331 × 5760 ) / 1
LCM(331,5760) = 1906560 / 1
LCM(331,5760) = 1906560
Lets's calculate GCF of 651,954
3 | 651, 954 |
217, 318 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1906560/3
Therefore the LCM of Fractions 331/651,5760/954 is 635520
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 651,954 . The biggest common factor number is the GCF number.
So the greatest common factor 651,954 is 3.
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 331/651, 5760/954?
Answer: LCM of Numerators as per given numbers 331/651, 5760/954 is
LCM of Numerators i.e. for 331,5760 is 1906560
GCF of denominators i.e. for 651,954 is 3.
Thus, LCM of Fractions is 635520.Finally, LCM of Fractions for 331/651, 5760/954 is 635520.