Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 529/90, 3538/680 quickly i.e. 1871602/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 529/90, 3538/680 is 1871602/10.
LCM(529/90, 3538/680) = 1871602/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 529/90,3538/680
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 529,3538
Least Common Multiple of Numerators i.e. LCM of 529,3538 is 1871602.
GCF of Denominators means GCF of 90,680 as per the given fractions.
GCF of 90,680 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 529,3538
Given numbers has no common factors except 1. So, there LCM is their product i.e 1871602
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 529,3538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,3538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,3538) x common factors =1 x 1 = 1
LCM(529,3538) = ( 529 × 3538 ) / 1
LCM(529,3538) = 1871602 / 1
LCM(529,3538) = 1871602
Lets's calculate GCF of 90,680
2 | 90, 680 |
5 | 45, 340 |
9, 68 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1871602/10
Therefore the LCM of Fractions 529/90,3538/680 is 1871602/10
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 680
List of positive integer factors of 680 that divides 680 without a remainder.
1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680
Greatest Common Factor
We found the factors 90,680 . The biggest common factor number is the GCF number.
So the greatest common factor 90,680 is 10.
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 529/90, 3538/680?
Answer: LCM of Numerators as per given numbers 529/90, 3538/680 is
LCM of Numerators i.e. for 529,3538 is 1871602
GCF of denominators i.e. for 90,680 is 10.
Thus, LCM of Fractions is 1871602/10.Finally, LCM of Fractions for 529/90, 3538/680 is 1871602/10.