Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/126, 2240/6469 quickly i.e. 132160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/126, 2240/6469 is 132160.
LCM(590/126, 2240/6469) = 132160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/126,2240/6469
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 590,2240
Least Common Multiple of Numerators i.e. LCM of 590,2240 is 132160.
GCF of Denominators means GCF of 126,6469 as per the given fractions.
GCF of 126,6469 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,2240
2 | 590, 2240 |
5 | 295, 1120 |
59, 224 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 224 = 132160
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 590,2240 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,2240) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,2240) x common factors =10 x 1 = 10
LCM(590,2240) = ( 590 × 2240 ) / 10
LCM(590,2240) = 1321600 / 10
LCM(590,2240) = 132160
Lets's calculate GCF of 126,6469
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132160/1
Therefore the LCM of Fractions 590/126,2240/6469 is 132160
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 6469
List of positive integer factors of 6469 that divides 6469 without a remainder.
1,6469
Greatest Common Factor
We found the factors 126,6469 . The biggest common factor number is the GCF number.
So the greatest common factor 126,6469 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 590/126, 2240/6469?
Answer: LCM of Numerators as per given numbers 590/126, 2240/6469 is
LCM of Numerators i.e. for 590,2240 is 132160
GCF of denominators i.e. for 126,6469 is 1.
Thus, LCM of Fractions is 132160.Finally, LCM of Fractions for 590/126, 2240/6469 is 132160.