Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/475, 2950/9425 quickly i.e. 3658 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/475, 2950/9425 is 3658.
LCM(62/475, 2950/9425) = 3658
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/475,2950/9425
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 62,2950
Least Common Multiple of Numerators i.e. LCM of 62,2950 is 91450.
GCF of Denominators means GCF of 475,9425 as per the given fractions.
GCF of 475,9425 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,2950
2 | 62, 2950 |
31, 1475 |
∴ So the LCM of the given numbers is 2 x 31 x 1475 = 91450
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 62,2950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,2950) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,2950) x common factors =2 x 1 = 2
LCM(62,2950) = ( 62 × 2950 ) / 2
LCM(62,2950) = 182900 / 2
LCM(62,2950) = 91450
Lets's calculate GCF of 475,9425
5 | 475, 9425 |
5 | 95, 1885 |
19, 377 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91450/25
Therefore the LCM of Fractions 62/475,2950/9425 is 3658
Factors of 475
List of positive integer factors of 475 that divides 475 without a remainder.
1,5,19,25,95,475
Factors of 9425
List of positive integer factors of 9425 that divides 9425 without a remainder.
1,5,13,25,29,65,145,325,377,725,1885,9425
Greatest Common Factor
We found the factors 475,9425 . The biggest common factor number is the GCF number.
So the greatest common factor 475,9425 is 25.
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 62/475, 2950/9425?
Answer: LCM of Numerators as per given numbers 62/475, 2950/9425 is
LCM of Numerators i.e. for 62,2950 is 91450
GCF of denominators i.e. for 475,9425 is 25.
Thus, LCM of Fractions is 3658.Finally, LCM of Fractions for 62/475, 2950/9425 is 3658.