Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/363, 638/888 quickly i.e. 608014/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/363, 638/888 is 608014/3.
LCM(953/363, 638/888) = 608014/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/363,638/888
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 953,638
Least Common Multiple of Numerators i.e. LCM of 953,638 is 608014.
GCF of Denominators means GCF of 363,888 as per the given fractions.
GCF of 363,888 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 608014
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 953,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,638) x common factors =1 x 1 = 1
LCM(953,638) = ( 953 × 638 ) / 1
LCM(953,638) = 608014 / 1
LCM(953,638) = 608014
Lets's calculate GCF of 363,888
3 | 363, 888 |
121, 296 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 608014/3
Therefore the LCM of Fractions 953/363,638/888 is 608014/3
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
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
Greatest Common Factor
We found the factors 363,888 . The biggest common factor number is the GCF number.
So the greatest common factor 363,888 is 3.
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 953/363, 638/888?
Answer: LCM of Numerators as per given numbers 953/363, 638/888 is
LCM of Numerators i.e. for 953,638 is 608014
GCF of denominators i.e. for 363,888 is 3.
Thus, LCM of Fractions is 608014/3.Finally, LCM of Fractions for 953/363, 638/888 is 608014/3.