Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5910/539, 9622/1651 quickly i.e. 28433010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5910/539, 9622/1651 is 28433010.
LCM(5910/539, 9622/1651) = 28433010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5910/539,9622/1651
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 5910,9622
Least Common Multiple of Numerators i.e. LCM of 5910,9622 is 28433010.
GCF of Denominators means GCF of 539,1651 as per the given fractions.
GCF of 539,1651 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5910,9622
2 | 5910, 9622 |
2955, 4811 |
∴ So the LCM of the given numbers is 2 x 2955 x 4811 = 28433010
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 5910,9622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5910,9622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5910,9622) x common factors =2 x 1 = 2
LCM(5910,9622) = ( 5910 × 9622 ) / 2
LCM(5910,9622) = 56866020 / 2
LCM(5910,9622) = 28433010
Lets's calculate GCF of 539,1651
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28433010/1
Therefore the LCM of Fractions 5910/539,9622/1651 is 28433010
Factors of 539
List of positive integer factors of 539 that divides 539 without a remainder.
1,7,11,49,77,539
Factors of 1651
List of positive integer factors of 1651 that divides 1651 without a remainder.
1,13,127,1651
Greatest Common Factor
We found the factors 539,1651 . The biggest common factor number is the GCF number.
So the greatest common factor 539,1651 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 5910/539, 9622/1651?
Answer: LCM of Numerators as per given numbers 5910/539, 9622/1651 is
LCM of Numerators i.e. for 5910,9622 is 28433010
GCF of denominators i.e. for 539,1651 is 1.
Thus, LCM of Fractions is 28433010.Finally, LCM of Fractions for 5910/539, 9622/1651 is 28433010.