Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/116, 9240/114 quickly i.e. 300300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/116, 9240/114 is 300300.
LCM(650/116, 9240/114) = 300300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/116,9240/114
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 650,9240
Least Common Multiple of Numerators i.e. LCM of 650,9240 is 600600.
GCF of Denominators means GCF of 116,114 as per the given fractions.
GCF of 116,114 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,9240
2 | 650, 9240 |
5 | 325, 4620 |
65, 924 |
∴ So the LCM of the given numbers is 2 x 5 x 65 x 924 = 600600
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 650,9240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,9240) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(650,9240) x common factors =10 x 1 = 10
LCM(650,9240) = ( 650 × 9240 ) / 10
LCM(650,9240) = 6006000 / 10
LCM(650,9240) = 600600
Lets's calculate GCF of 116,114
2 | 116, 114 |
58, 57 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600600/2
Therefore the LCM of Fractions 650/116,9240/114 is 300300
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 116,114 . The biggest common factor number is the GCF number.
So the greatest common factor 116,114 is 2.
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 650/116, 9240/114?
Answer: LCM of Numerators as per given numbers 650/116, 9240/114 is
LCM of Numerators i.e. for 650,9240 is 600600
GCF of denominators i.e. for 116,114 is 2.
Thus, LCM of Fractions is 300300.Finally, LCM of Fractions for 650/116, 9240/114 is 300300.