Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 665/128, 7390/920 quickly i.e. 982870/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 665/128, 7390/920 is 982870/8.
LCM(665/128, 7390/920) = 982870/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 665/128,7390/920
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 665,7390
Least Common Multiple of Numerators i.e. LCM of 665,7390 is 982870.
GCF of Denominators means GCF of 128,920 as per the given fractions.
GCF of 128,920 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 665,7390
5 | 665, 7390 |
133, 1478 |
∴ So the LCM of the given numbers is 5 x 133 x 1478 = 982870
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 665,7390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(665,7390) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(665,7390) x common factors =5 x 1 = 5
LCM(665,7390) = ( 665 × 7390 ) / 5
LCM(665,7390) = 4914350 / 5
LCM(665,7390) = 982870
Lets's calculate GCF of 128,920
2 | 128, 920 |
2 | 64, 460 |
2 | 32, 230 |
16, 115 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 982870/8
Therefore the LCM of Fractions 665/128,7390/920 is 982870/8
Factors of 128
List of positive integer factors of 128 that divides 128 without a remainder.
1,2,4,8,16,32,64,128
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 128,920 . The biggest common factor number is the GCF number.
So the greatest common factor 128,920 is 8.
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 665/128, 7390/920?
Answer: LCM of Numerators as per given numbers 665/128, 7390/920 is
LCM of Numerators i.e. for 665,7390 is 982870
GCF of denominators i.e. for 128,920 is 8.
Thus, LCM of Fractions is 982870/8.Finally, LCM of Fractions for 665/128, 7390/920 is 982870/8.