Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 176/664, 964/888, 646/903 quickly i.e. 13700368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 176/664, 964/888, 646/903 is 13700368.
LCM(176/664, 964/888, 646/903) = 13700368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 176/664,964/888,646/903
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 176,964,646
Least Common Multiple of Numerators i.e. LCM of 176,964,646 is 13700368.
GCF of Denominators means GCF of 664,888,903 as per the given fractions.
GCF of 664,888,903 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 176,964,646
2 | 176, 964, 646 |
2 | 88, 482, 323 |
44, 241, 323 |
∴ So the LCM of the given numbers is 2 x 2 x 44 x 241 x 323 = 13700368
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 176,964,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(176,964,646) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(176,964,646) x common factors =2 x 4 = 8
LCM(176,964,646) = ( 176 × 964 × 646 ) / 8
LCM(176,964,646) = 109602944 / 8
LCM(176,964,646) = 13700368
Lets's calculate GCF of 664,888,903
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13700368/1
Therefore the LCM of Fractions 176/664,964/888,646/903 is 13700368
Factors of 664
List of positive integer factors of 664 that divides 664 without a remainder.
1,2,4,8,83,166,332,664
Factors of 888
List of positive integer factors of 888 that divides 888 without a remainder.
1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Greatest Common Factor
We found the factors 664,888,903 . The biggest common factor number is the GCF number.
So the greatest common factor 664,888,903 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 176/664, 964/888, 646/903?
Answer: LCM of Numerators as per given numbers 176/664, 964/888, 646/903 is
LCM of Numerators i.e. for 176,964,646 is 13700368
GCF of denominators i.e. for 664,888,903 is 1.
Thus, LCM of Fractions is 13700368.Finally, LCM of Fractions for 176/664, 964/888, 646/903 is 13700368.