Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 860/792, 7462/121 quickly i.e. 3208660/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 860/792, 7462/121 is 3208660/11.
LCM(860/792, 7462/121) = 3208660/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 860/792,7462/121
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 860,7462
Least Common Multiple of Numerators i.e. LCM of 860,7462 is 3208660.
GCF of Denominators means GCF of 792,121 as per the given fractions.
GCF of 792,121 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 860,7462
2 | 860, 7462 |
430, 3731 |
∴ So the LCM of the given numbers is 2 x 430 x 3731 = 3208660
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 860,7462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,7462) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(860,7462) x common factors =2 x 1 = 2
LCM(860,7462) = ( 860 × 7462 ) / 2
LCM(860,7462) = 6417320 / 2
LCM(860,7462) = 3208660
Lets's calculate GCF of 792,121
11 | 792, 121 |
72, 11 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3208660/11
Therefore the LCM of Fractions 860/792,7462/121 is 3208660/11
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 121
List of positive integer factors of 121 that divides 121 without a remainder.
1,11,121
Greatest Common Factor
We found the factors 792,121 . The biggest common factor number is the GCF number.
So the greatest common factor 792,121 is 11.
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 860/792, 7462/121?
Answer: LCM of Numerators as per given numbers 860/792, 7462/121 is
LCM of Numerators i.e. for 860,7462 is 3208660
GCF of denominators i.e. for 792,121 is 11.
Thus, LCM of Fractions is 3208660/11.Finally, LCM of Fractions for 860/792, 7462/121 is 3208660/11.