Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 48/763, 68/340, 661/792 quickly i.e. 539376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 48/763, 68/340, 661/792 is 539376.
LCM(48/763, 68/340, 661/792) = 539376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 48/763,68/340,661/792
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 48,68,661
Least Common Multiple of Numerators i.e. LCM of 48,68,661 is 539376.
GCF of Denominators means GCF of 763,340,792 as per the given fractions.
GCF of 763,340,792 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 48,68,661
2 | 48, 68, 661 |
2 | 24, 34, 661 |
12, 17, 661 |
∴ So the LCM of the given numbers is 2 x 2 x 12 x 17 x 661 = 539376
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 48,68,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,68,661) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(48,68,661) x common factors =1 x 4 = 4
LCM(48,68,661) = ( 48 × 68 × 661 ) / 4
LCM(48,68,661) = 2157504 / 4
LCM(48,68,661) = 539376
Lets's calculate GCF of 763,340,792
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 539376/1
Therefore the LCM of Fractions 48/763,68/340,661/792 is 539376
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
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
Greatest Common Factor
We found the factors 763,340,792 . The biggest common factor number is the GCF number.
So the greatest common factor 763,340,792 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 48/763, 68/340, 661/792?
Answer: LCM of Numerators as per given numbers 48/763, 68/340, 661/792 is
LCM of Numerators i.e. for 48,68,661 is 539376
GCF of denominators i.e. for 763,340,792 is 1.
Thus, LCM of Fractions is 539376.Finally, LCM of Fractions for 48/763, 68/340, 661/792 is 539376.