Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9746/148, 6287/4250 quickly i.e. 30636551 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9746/148, 6287/4250 is 30636551.
LCM(9746/148, 6287/4250) = 30636551
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9746/148,6287/4250
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 9746,6287
Least Common Multiple of Numerators i.e. LCM of 9746,6287 is 61273102.
GCF of Denominators means GCF of 148,4250 as per the given fractions.
GCF of 148,4250 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9746,6287
Given numbers has no common factors except 1. So, there LCM is their product i.e 61273102
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 9746,6287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9746,6287) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9746,6287) x common factors =1 x 1 = 1
LCM(9746,6287) = ( 9746 × 6287 ) / 1
LCM(9746,6287) = 61273102 / 1
LCM(9746,6287) = 61273102
Lets's calculate GCF of 148,4250
2 | 148, 4250 |
74, 2125 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61273102/2
Therefore the LCM of Fractions 9746/148,6287/4250 is 30636551
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Factors of 4250
List of positive integer factors of 4250 that divides 4250 without a remainder.
1,2,5,10,17,25,34,50,85,125,170,250,425,850,2125,4250
Greatest Common Factor
We found the factors 148,4250 . The biggest common factor number is the GCF number.
So the greatest common factor 148,4250 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 9746/148, 6287/4250?
Answer: LCM of Numerators as per given numbers 9746/148, 6287/4250 is
LCM of Numerators i.e. for 9746,6287 is 61273102
GCF of denominators i.e. for 148,4250 is 2.
Thus, LCM of Fractions is 30636551.Finally, LCM of Fractions for 9746/148, 6287/4250 is 30636551.