Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/885, 58/973, 254/918 quickly i.e. 235712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/885, 58/973, 254/918 is 235712.
LCM(64/885, 58/973, 254/918) = 235712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/885,58/973,254/918
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 64,58,254
Least Common Multiple of Numerators i.e. LCM of 64,58,254 is 235712.
GCF of Denominators means GCF of 885,973,918 as per the given fractions.
GCF of 885,973,918 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,58,254
2 | 64, 58, 254 |
32, 29, 127 |
∴ So the LCM of the given numbers is 2 x 32 x 29 x 127 = 235712
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 64,58,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,58,254) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(64,58,254) x common factors =2 x 2 = 4
LCM(64,58,254) = ( 64 × 58 × 254 ) / 4
LCM(64,58,254) = 942848 / 4
LCM(64,58,254) = 235712
Lets's calculate GCF of 885,973,918
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235712/1
Therefore the LCM of Fractions 64/885,58/973,254/918 is 235712
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Factors of 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 885,973,918 . The biggest common factor number is the GCF number.
So the greatest common factor 885,973,918 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 64/885, 58/973, 254/918?
Answer: LCM of Numerators as per given numbers 64/885, 58/973, 254/918 is
LCM of Numerators i.e. for 64,58,254 is 235712
GCF of denominators i.e. for 885,973,918 is 1.
Thus, LCM of Fractions is 235712.Finally, LCM of Fractions for 64/885, 58/973, 254/918 is 235712.