Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 668/363, 2625/921 quickly i.e. 584500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 668/363, 2625/921 is 584500.
LCM(668/363, 2625/921) = 584500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 668/363,2625/921
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 668,2625
Least Common Multiple of Numerators i.e. LCM of 668,2625 is 1753500.
GCF of Denominators means GCF of 363,921 as per the given fractions.
GCF of 363,921 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 668,2625
Given numbers has no common factors except 1. So, there LCM is their product i.e 1753500
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 668,2625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(668,2625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(668,2625) x common factors =1 x 1 = 1
LCM(668,2625) = ( 668 × 2625 ) / 1
LCM(668,2625) = 1753500 / 1
LCM(668,2625) = 1753500
Lets's calculate GCF of 363,921
3 | 363, 921 |
121, 307 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1753500/3
Therefore the LCM of Fractions 668/363,2625/921 is 584500
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Greatest Common Factor
We found the factors 363,921 . The biggest common factor number is the GCF number.
So the greatest common factor 363,921 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 668/363, 2625/921?
Answer: LCM of Numerators as per given numbers 668/363, 2625/921 is
LCM of Numerators i.e. for 668,2625 is 1753500
GCF of denominators i.e. for 363,921 is 3.
Thus, LCM of Fractions is 584500.Finally, LCM of Fractions for 668/363, 2625/921 is 584500.