Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/660, 9000/2526 quickly i.e. 34500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/660, 9000/2526 is 34500.
LCM(92/660, 9000/2526) = 34500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/660,9000/2526
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 92,9000
Least Common Multiple of Numerators i.e. LCM of 92,9000 is 207000.
GCF of Denominators means GCF of 660,2526 as per the given fractions.
GCF of 660,2526 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,9000
2 | 92, 9000 |
2 | 46, 4500 |
23, 2250 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 2250 = 207000
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 92,9000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,9000) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(92,9000) x common factors =4 x 1 = 4
LCM(92,9000) = ( 92 × 9000 ) / 4
LCM(92,9000) = 828000 / 4
LCM(92,9000) = 207000
Lets's calculate GCF of 660,2526
2 | 660, 2526 |
3 | 330, 1263 |
110, 421 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 207000/6
Therefore the LCM of Fractions 92/660,9000/2526 is 34500
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 2526
List of positive integer factors of 2526 that divides 2526 without a remainder.
1,2,3,6,421,842,1263,2526
Greatest Common Factor
We found the factors 660,2526 . The biggest common factor number is the GCF number.
So the greatest common factor 660,2526 is 6.
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 92/660, 9000/2526?
Answer: LCM of Numerators as per given numbers 92/660, 9000/2526 is
LCM of Numerators i.e. for 92,9000 is 207000
GCF of denominators i.e. for 660,2526 is 6.
Thus, LCM of Fractions is 34500.Finally, LCM of Fractions for 92/660, 9000/2526 is 34500.