Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2640/905, 6114/9560 quickly i.e. 538032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2640/905, 6114/9560 is 538032.
LCM(2640/905, 6114/9560) = 538032
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2640/905,6114/9560
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 2640,6114
Least Common Multiple of Numerators i.e. LCM of 2640,6114 is 2690160.
GCF of Denominators means GCF of 905,9560 as per the given fractions.
GCF of 905,9560 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2640,6114
2 | 2640, 6114 |
3 | 1320, 3057 |
440, 1019 |
∴ So the LCM of the given numbers is 2 x 3 x 440 x 1019 = 2690160
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 2640,6114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2640,6114) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(2640,6114) x common factors =6 x 1 = 6
LCM(2640,6114) = ( 2640 × 6114 ) / 6
LCM(2640,6114) = 16140960 / 6
LCM(2640,6114) = 2690160
Lets's calculate GCF of 905,9560
5 | 905, 9560 |
181, 1912 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2690160/5
Therefore the LCM of Fractions 2640/905,6114/9560 is 538032
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Factors of 9560
List of positive integer factors of 9560 that divides 9560 without a remainder.
1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560
Greatest Common Factor
We found the factors 905,9560 . The biggest common factor number is the GCF number.
So the greatest common factor 905,9560 is 5.
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 2640/905, 6114/9560?
Answer: LCM of Numerators as per given numbers 2640/905, 6114/9560 is
LCM of Numerators i.e. for 2640,6114 is 2690160
GCF of denominators i.e. for 905,9560 is 5.
Thus, LCM of Fractions is 538032.Finally, LCM of Fractions for 2640/905, 6114/9560 is 538032.