Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 490/520, 643/334 quickly i.e. 157535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 490/520, 643/334 is 157535.
LCM(490/520, 643/334) = 157535
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 490/520,643/334
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 490,643
Least Common Multiple of Numerators i.e. LCM of 490,643 is 315070.
GCF of Denominators means GCF of 520,334 as per the given fractions.
GCF of 520,334 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 490,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 315070
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 490,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,643) x common factors =1 x 1 = 1
LCM(490,643) = ( 490 × 643 ) / 1
LCM(490,643) = 315070 / 1
LCM(490,643) = 315070
Lets's calculate GCF of 520,334
2 | 520, 334 |
260, 167 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315070/2
Therefore the LCM of Fractions 490/520,643/334 is 157535
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 334
List of positive integer factors of 334 that divides 334 without a remainder.
1,2,167,334
Greatest Common Factor
We found the factors 520,334 . The biggest common factor number is the GCF number.
So the greatest common factor 520,334 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 490/520, 643/334?
Answer: LCM of Numerators as per given numbers 490/520, 643/334 is
LCM of Numerators i.e. for 490,643 is 315070
GCF of denominators i.e. for 520,334 is 2.
Thus, LCM of Fractions is 157535.Finally, LCM of Fractions for 490/520, 643/334 is 157535.