Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6600/902, 6292/3296 quickly i.e. 471900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6600/902, 6292/3296 is 471900.
LCM(6600/902, 6292/3296) = 471900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6600/902,6292/3296
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 6600,6292
Least Common Multiple of Numerators i.e. LCM of 6600,6292 is 943800.
GCF of Denominators means GCF of 902,3296 as per the given fractions.
GCF of 902,3296 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6600,6292
2 | 6600, 6292 |
2 | 3300, 3146 |
11 | 1650, 1573 |
150, 143 |
∴ So the LCM of the given numbers is 2 x 2 x 11 x 150 x 143 = 943800
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 6600,6292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6600,6292) = 44
common factors(in case of two or more numbers have common factors) = 1
GCF(6600,6292) x common factors =44 x 1 = 44
LCM(6600,6292) = ( 6600 × 6292 ) / 44
LCM(6600,6292) = 41527200 / 44
LCM(6600,6292) = 943800
Lets's calculate GCF of 902,3296
2 | 902, 3296 |
451, 1648 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 943800/2
Therefore the LCM of Fractions 6600/902,6292/3296 is 471900
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Factors of 3296
List of positive integer factors of 3296 that divides 3296 without a remainder.
1,2,4,8,16,32,103,206,412,824,1648,3296
Greatest Common Factor
We found the factors 902,3296 . The biggest common factor number is the GCF number.
So the greatest common factor 902,3296 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 6600/902, 6292/3296?
Answer: LCM of Numerators as per given numbers 6600/902, 6292/3296 is
LCM of Numerators i.e. for 6600,6292 is 943800
GCF of denominators i.e. for 902,3296 is 2.
Thus, LCM of Fractions is 471900.Finally, LCM of Fractions for 6600/902, 6292/3296 is 471900.