Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 374/950, 1621/190 quickly i.e. 606254/190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 374/950, 1621/190 is 606254/190.
LCM(374/950, 1621/190) = 606254/190
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 374/950,1621/190
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 374,1621
Least Common Multiple of Numerators i.e. LCM of 374,1621 is 606254.
GCF of Denominators means GCF of 950,190 as per the given fractions.
GCF of 950,190 is 190 as it is the largest common factor for these numbers.
Lets's calculate LCM of 374,1621
Given numbers has no common factors except 1. So, there LCM is their product i.e 606254
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 374,1621 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,1621) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(374,1621) x common factors =1 x 1 = 1
LCM(374,1621) = ( 374 × 1621 ) / 1
LCM(374,1621) = 606254 / 1
LCM(374,1621) = 606254
Lets's calculate GCF of 950,190
2 | 950, 190 |
5 | 475, 95 |
19 | 19, 95 |
1, 5 |
∴ So the GCF of the given numbers is 2 x 5 x 19 = 190
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 606254/190
Therefore the LCM of Fractions 374/950,1621/190 is 606254/190
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 950,190 . The biggest common factor number is the GCF number.
So the greatest common factor 950,190 is 190.
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 374/950, 1621/190?
Answer: LCM of Numerators as per given numbers 374/950, 1621/190 is
LCM of Numerators i.e. for 374,1621 is 606254
GCF of denominators i.e. for 950,190 is 190.
Thus, LCM of Fractions is 606254/190.Finally, LCM of Fractions for 374/950, 1621/190 is 606254/190.