Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9471/126, 1599/245 quickly i.e. 17589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9471/126, 1599/245 is 17589.
LCM(9471/126, 1599/245) = 17589
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9471/126,1599/245
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 9471,1599
Least Common Multiple of Numerators i.e. LCM of 9471,1599 is 123123.
GCF of Denominators means GCF of 126,245 as per the given fractions.
GCF of 126,245 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9471,1599
3 | 9471, 1599 |
41 | 3157, 533 |
77, 13 |
∴ So the LCM of the given numbers is 3 x 41 x 77 x 13 = 123123
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 9471,1599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9471,1599) = 123
common factors(in case of two or more numbers have common factors) = 1
GCF(9471,1599) x common factors =123 x 1 = 123
LCM(9471,1599) = ( 9471 × 1599 ) / 123
LCM(9471,1599) = 15144129 / 123
LCM(9471,1599) = 123123
Lets's calculate GCF of 126,245
7 | 126, 245 |
18, 35 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123123/7
Therefore the LCM of Fractions 9471/126,1599/245 is 17589
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Greatest Common Factor
We found the factors 126,245 . The biggest common factor number is the GCF number.
So the greatest common factor 126,245 is 7.
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 9471/126, 1599/245?
Answer: LCM of Numerators as per given numbers 9471/126, 1599/245 is
LCM of Numerators i.e. for 9471,1599 is 123123
GCF of denominators i.e. for 126,245 is 7.
Thus, LCM of Fractions is 17589.Finally, LCM of Fractions for 9471/126, 1599/245 is 17589.