Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/425, 7375/3689 quickly i.e. 1239000/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/425, 7375/3689 is 1239000/17.
LCM(840/425, 7375/3689) = 1239000/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/425,7375/3689
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 840,7375
Least Common Multiple of Numerators i.e. LCM of 840,7375 is 1239000.
GCF of Denominators means GCF of 425,3689 as per the given fractions.
GCF of 425,3689 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,7375
5 | 840, 7375 |
168, 1475 |
∴ So the LCM of the given numbers is 5 x 168 x 1475 = 1239000
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 840,7375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,7375) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(840,7375) x common factors =5 x 1 = 5
LCM(840,7375) = ( 840 × 7375 ) / 5
LCM(840,7375) = 6195000 / 5
LCM(840,7375) = 1239000
Lets's calculate GCF of 425,3689
17 | 425, 3689 |
25, 217 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1239000/17
Therefore the LCM of Fractions 840/425,7375/3689 is 1239000/17
Factors of 425
List of positive integer factors of 425 that divides 425 without a remainder.
1,5,17,25,85,425
Factors of 3689
List of positive integer factors of 3689 that divides 3689 without a remainder.
1,7,17,31,119,217,527,3689
Greatest Common Factor
We found the factors 425,3689 . The biggest common factor number is the GCF number.
So the greatest common factor 425,3689 is 17.
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 840/425, 7375/3689?
Answer: LCM of Numerators as per given numbers 840/425, 7375/3689 is
LCM of Numerators i.e. for 840,7375 is 1239000
GCF of denominators i.e. for 425,3689 is 17.
Thus, LCM of Fractions is 1239000/17.Finally, LCM of Fractions for 840/425, 7375/3689 is 1239000/17.