Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 780/97, 975/54, 728/163 quickly i.e. 54600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 780/97, 975/54, 728/163 is 54600.
LCM(780/97, 975/54, 728/163) = 54600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 780/97,975/54,728/163
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 780,975,728
Least Common Multiple of Numerators i.e. LCM of 780,975,728 is 54600.
GCF of Denominators means GCF of 97,54,163 as per the given fractions.
GCF of 97,54,163 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 780,975,728
2 | 780, 975, 728 |
2 | 390, 975, 364 |
3 | 195, 975, 182 |
5 | 65, 325, 182 |
13 | 13, 65, 182 |
1, 5, 14 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 1 x 5 x 14 = 54600
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 780,975,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,975,728) = 13
common factors(in case of two or more numbers have common factors) = 780
GCF(780,975,728) x common factors =13 x 780 = 10140
LCM(780,975,728) = ( 780 × 975 × 728 ) / 10140
LCM(780,975,728) = 553644000 / 10140
LCM(780,975,728) = 54600
Lets's calculate GCF of 97,54,163
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54600/1
Therefore the LCM of Fractions 780/97,975/54,728/163 is 54600
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 163
List of positive integer factors of 163 that divides 163 without a remainder.
1,163
Greatest Common Factor
We found the factors 97,54,163 . The biggest common factor number is the GCF number.
So the greatest common factor 97,54,163 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 780/97, 975/54, 728/163?
Answer: LCM of Numerators as per given numbers 780/97, 975/54, 728/163 is
LCM of Numerators i.e. for 780,975,728 is 54600
GCF of denominators i.e. for 97,54,163 is 1.
Thus, LCM of Fractions is 54600.Finally, LCM of Fractions for 780/97, 975/54, 728/163 is 54600.