Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 657/60, 438/9928 quickly i.e. 1314/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 657/60, 438/9928 is 1314/4.
LCM(657/60, 438/9928) = 1314/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 657/60,438/9928
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 657,438
Least Common Multiple of Numerators i.e. LCM of 657,438 is 1314.
GCF of Denominators means GCF of 60,9928 as per the given fractions.
GCF of 60,9928 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 657,438
3 | 657, 438 |
73 | 219, 146 |
3, 2 |
∴ So the LCM of the given numbers is 3 x 73 x 3 x 2 = 1314
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 657,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,438) = 219
common factors(in case of two or more numbers have common factors) = 1
GCF(657,438) x common factors =219 x 1 = 219
LCM(657,438) = ( 657 × 438 ) / 219
LCM(657,438) = 287766 / 219
LCM(657,438) = 1314
Lets's calculate GCF of 60,9928
2 | 60, 9928 |
2 | 30, 4964 |
15, 2482 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1314/4
Therefore the LCM of Fractions 657/60,438/9928 is 1314/4
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 9928
List of positive integer factors of 9928 that divides 9928 without a remainder.
1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928
Greatest Common Factor
We found the factors 60,9928 . The biggest common factor number is the GCF number.
So the greatest common factor 60,9928 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 657/60, 438/9928?
Answer: LCM of Numerators as per given numbers 657/60, 438/9928 is
LCM of Numerators i.e. for 657,438 is 1314
GCF of denominators i.e. for 60,9928 is 4.
Thus, LCM of Fractions is 1314/4.Finally, LCM of Fractions for 657/60, 438/9928 is 1314/4.