Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/859, 96/991, 640/955 quickly i.e. 101760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/859, 96/991, 640/955 is 101760.
LCM(53/859, 96/991, 640/955) = 101760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/859,96/991,640/955
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 53,96,640
Least Common Multiple of Numerators i.e. LCM of 53,96,640 is 101760.
GCF of Denominators means GCF of 859,991,955 as per the given fractions.
GCF of 859,991,955 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,96,640
2 | 53, 96, 640 |
2 | 53, 48, 320 |
2 | 53, 24, 160 |
2 | 53, 12, 80 |
2 | 53, 6, 40 |
53, 3, 20 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 53 x 3 x 20 = 101760
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 53,96,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,96,640) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(53,96,640) x common factors =1 x 32 = 32
LCM(53,96,640) = ( 53 × 96 × 640 ) / 32
LCM(53,96,640) = 3256320 / 32
LCM(53,96,640) = 101760
Lets's calculate GCF of 859,991,955
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 101760/1
Therefore the LCM of Fractions 53/859,96/991,640/955 is 101760
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Greatest Common Factor
We found the factors 859,991,955 . The biggest common factor number is the GCF number.
So the greatest common factor 859,991,955 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 53/859, 96/991, 640/955?
Answer: LCM of Numerators as per given numbers 53/859, 96/991, 640/955 is
LCM of Numerators i.e. for 53,96,640 is 101760
GCF of denominators i.e. for 859,991,955 is 1.
Thus, LCM of Fractions is 101760.Finally, LCM of Fractions for 53/859, 96/991, 640/955 is 101760.