Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 144/772, 4165/7608 quickly i.e. 149940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 144/772, 4165/7608 is 149940.
LCM(144/772, 4165/7608) = 149940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 144/772,4165/7608
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 144,4165
Least Common Multiple of Numerators i.e. LCM of 144,4165 is 599760.
GCF of Denominators means GCF of 772,7608 as per the given fractions.
GCF of 772,7608 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 144,4165
Given numbers has no common factors except 1. So, there LCM is their product i.e 599760
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 144,4165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(144,4165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(144,4165) x common factors =1 x 1 = 1
LCM(144,4165) = ( 144 × 4165 ) / 1
LCM(144,4165) = 599760 / 1
LCM(144,4165) = 599760
Lets's calculate GCF of 772,7608
2 | 772, 7608 |
2 | 386, 3804 |
193, 1902 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 599760/4
Therefore the LCM of Fractions 144/772,4165/7608 is 149940
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Factors of 7608
List of positive integer factors of 7608 that divides 7608 without a remainder.
1,2,3,4,6,8,12,24,317,634,951,1268,1902,2536,3804,7608
Greatest Common Factor
We found the factors 772,7608 . The biggest common factor number is the GCF number.
So the greatest common factor 772,7608 is 4.
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 144/772, 4165/7608?
Answer: LCM of Numerators as per given numbers 144/772, 4165/7608 is
LCM of Numerators i.e. for 144,4165 is 599760
GCF of denominators i.e. for 772,7608 is 4.
Thus, LCM of Fractions is 149940.Finally, LCM of Fractions for 144/772, 4165/7608 is 149940.