Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/53, 801/45, 194/268 quickly i.e. 66974814 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/53, 801/45, 194/268 is 66974814.
LCM(862/53, 801/45, 194/268) = 66974814
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/53,801/45,194/268
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 862,801,194
Least Common Multiple of Numerators i.e. LCM of 862,801,194 is 66974814.
GCF of Denominators means GCF of 53,45,268 as per the given fractions.
GCF of 53,45,268 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,801,194
2 | 862, 801, 194 |
431, 801, 97 |
∴ So the LCM of the given numbers is 2 x 431 x 801 x 97 = 66974814
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 862,801,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,801,194) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(862,801,194) x common factors =1 x 2 = 2
LCM(862,801,194) = ( 862 × 801 × 194 ) / 2
LCM(862,801,194) = 133949628 / 2
LCM(862,801,194) = 66974814
Lets's calculate GCF of 53,45,268
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66974814/1
Therefore the LCM of Fractions 862/53,801/45,194/268 is 66974814
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Greatest Common Factor
We found the factors 53,45,268 . The biggest common factor number is the GCF number.
So the greatest common factor 53,45,268 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 862/53, 801/45, 194/268?
Answer: LCM of Numerators as per given numbers 862/53, 801/45, 194/268 is
LCM of Numerators i.e. for 862,801,194 is 66974814
GCF of denominators i.e. for 53,45,268 is 1.
Thus, LCM of Fractions is 66974814.Finally, LCM of Fractions for 862/53, 801/45, 194/268 is 66974814.