Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/685, 5651/845 quickly i.e. 5447564/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/685, 5651/845 is 5447564/5.
LCM(964/685, 5651/845) = 5447564/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/685,5651/845
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 964,5651
Least Common Multiple of Numerators i.e. LCM of 964,5651 is 5447564.
GCF of Denominators means GCF of 685,845 as per the given fractions.
GCF of 685,845 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,5651
Given numbers has no common factors except 1. So, there LCM is their product i.e 5447564
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 964,5651 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,5651) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,5651) x common factors =1 x 1 = 1
LCM(964,5651) = ( 964 × 5651 ) / 1
LCM(964,5651) = 5447564 / 1
LCM(964,5651) = 5447564
Lets's calculate GCF of 685,845
5 | 685, 845 |
137, 169 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5447564/5
Therefore the LCM of Fractions 964/685,5651/845 is 5447564/5
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Greatest Common Factor
We found the factors 685,845 . The biggest common factor number is the GCF number.
So the greatest common factor 685,845 is 5.
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 964/685, 5651/845?
Answer: LCM of Numerators as per given numbers 964/685, 5651/845 is
LCM of Numerators i.e. for 964,5651 is 5447564
GCF of denominators i.e. for 685,845 is 5.
Thus, LCM of Fractions is 5447564/5.Finally, LCM of Fractions for 964/685, 5651/845 is 5447564/5.