Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/47, 490/75, 426/21 quickly i.e. 313110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/47, 490/75, 426/21 is 313110.
LCM(9/47, 490/75, 426/21) = 313110
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/47,490/75,426/21
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 9,490,426
Least Common Multiple of Numerators i.e. LCM of 9,490,426 is 313110.
GCF of Denominators means GCF of 47,75,21 as per the given fractions.
GCF of 47,75,21 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,490,426
2 | 9, 490, 426 |
3 | 9, 245, 213 |
3, 245, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 245 x 71 = 313110
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 9,490,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,490,426) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(9,490,426) x common factors =1 x 6 = 6
LCM(9,490,426) = ( 9 × 490 × 426 ) / 6
LCM(9,490,426) = 1878660 / 6
LCM(9,490,426) = 313110
Lets's calculate GCF of 47,75,21
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313110/1
Therefore the LCM of Fractions 9/47,490/75,426/21 is 313110
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Greatest Common Factor
We found the factors 47,75,21 . The biggest common factor number is the GCF number.
So the greatest common factor 47,75,21 is 1.
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 9/47, 490/75, 426/21?
Answer: LCM of Numerators as per given numbers 9/47, 490/75, 426/21 is
LCM of Numerators i.e. for 9,490,426 is 313110
GCF of denominators i.e. for 47,75,21 is 1.
Thus, LCM of Fractions is 313110.Finally, LCM of Fractions for 9/47, 490/75, 426/21 is 313110.