Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/760, 9964/1350 quickly i.e. 229172/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/760, 9964/1350 is 229172/10.
LCM(23/760, 9964/1350) = 229172/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/760,9964/1350
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 23,9964
Least Common Multiple of Numerators i.e. LCM of 23,9964 is 229172.
GCF of Denominators means GCF of 760,1350 as per the given fractions.
GCF of 760,1350 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,9964
Given numbers has no common factors except 1. So, there LCM is their product i.e 229172
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 23,9964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,9964) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,9964) x common factors =1 x 1 = 1
LCM(23,9964) = ( 23 × 9964 ) / 1
LCM(23,9964) = 229172 / 1
LCM(23,9964) = 229172
Lets's calculate GCF of 760,1350
2 | 760, 1350 |
5 | 380, 675 |
76, 135 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229172/10
Therefore the LCM of Fractions 23/760,9964/1350 is 229172/10
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 1350
List of positive integer factors of 1350 that divides 1350 without a remainder.
1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Greatest Common Factor
We found the factors 760,1350 . The biggest common factor number is the GCF number.
So the greatest common factor 760,1350 is 10.
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 23/760, 9964/1350?
Answer: LCM of Numerators as per given numbers 23/760, 9964/1350 is
LCM of Numerators i.e. for 23,9964 is 229172
GCF of denominators i.e. for 760,1350 is 10.
Thus, LCM of Fractions is 229172/10.Finally, LCM of Fractions for 23/760, 9964/1350 is 229172/10.