Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/370, 1521/594 quickly i.e. 1449513/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/370, 1521/594 is 1449513/2.
LCM(953/370, 1521/594) = 1449513/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/370,1521/594
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 953,1521
Least Common Multiple of Numerators i.e. LCM of 953,1521 is 1449513.
GCF of Denominators means GCF of 370,594 as per the given fractions.
GCF of 370,594 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,1521
Given numbers has no common factors except 1. So, there LCM is their product i.e 1449513
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 953,1521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,1521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(953,1521) x common factors =1 x 1 = 1
LCM(953,1521) = ( 953 × 1521 ) / 1
LCM(953,1521) = 1449513 / 1
LCM(953,1521) = 1449513
Lets's calculate GCF of 370,594
2 | 370, 594 |
185, 297 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1449513/2
Therefore the LCM of Fractions 953/370,1521/594 is 1449513/2
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Greatest Common Factor
We found the factors 370,594 . The biggest common factor number is the GCF number.
So the greatest common factor 370,594 is 2.
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 953/370, 1521/594?
Answer: LCM of Numerators as per given numbers 953/370, 1521/594 is
LCM of Numerators i.e. for 953,1521 is 1449513
GCF of denominators i.e. for 370,594 is 2.
Thus, LCM of Fractions is 1449513/2.Finally, LCM of Fractions for 953/370, 1521/594 is 1449513/2.