Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3960/792, 1837/373 quickly i.e. 661320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3960/792, 1837/373 is 661320.
LCM(3960/792, 1837/373) = 661320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3960/792,1837/373
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 3960,1837
Least Common Multiple of Numerators i.e. LCM of 3960,1837 is 661320.
GCF of Denominators means GCF of 792,373 as per the given fractions.
GCF of 792,373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3960,1837
11 | 3960, 1837 |
360, 167 |
∴ So the LCM of the given numbers is 11 x 360 x 167 = 661320
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 3960,1837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3960,1837) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(3960,1837) x common factors =11 x 1 = 11
LCM(3960,1837) = ( 3960 × 1837 ) / 11
LCM(3960,1837) = 7274520 / 11
LCM(3960,1837) = 661320
Lets's calculate GCF of 792,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 661320/1
Therefore the LCM of Fractions 3960/792,1837/373 is 661320
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 792,373 . The biggest common factor number is the GCF number.
So the greatest common factor 792,373 is 1.
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 3960/792, 1837/373?
Answer: LCM of Numerators as per given numbers 3960/792, 1837/373 is
LCM of Numerators i.e. for 3960,1837 is 661320
GCF of denominators i.e. for 792,373 is 1.
Thus, LCM of Fractions is 661320.Finally, LCM of Fractions for 3960/792, 1837/373 is 661320.