Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/760, 8325/5720 quickly i.e. 216450/40 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/760, 8325/5720 is 216450/40.
LCM(26/760, 8325/5720) = 216450/40
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/760,8325/5720
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 26,8325
Least Common Multiple of Numerators i.e. LCM of 26,8325 is 216450.
GCF of Denominators means GCF of 760,5720 as per the given fractions.
GCF of 760,5720 is 40 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,8325
Given numbers has no common factors except 1. So, there LCM is their product i.e 216450
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 26,8325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,8325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,8325) x common factors =1 x 1 = 1
LCM(26,8325) = ( 26 × 8325 ) / 1
LCM(26,8325) = 216450 / 1
LCM(26,8325) = 216450
Lets's calculate GCF of 760,5720
2 | 760, 5720 |
2 | 380, 2860 |
2 | 190, 1430 |
5 | 95, 715 |
19, 143 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216450/40
Therefore the LCM of Fractions 26/760,8325/5720 is 216450/40
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 5720
List of positive integer factors of 5720 that divides 5720 without a remainder.
1,2,4,5,8,10,11,13,20,22,26,40,44,52,55,65,88,104,110,130,143,220,260,286,440,520,572,715,1144,1430,2860,5720
Greatest Common Factor
We found the factors 760,5720 . The biggest common factor number is the GCF number.
So the greatest common factor 760,5720 is 40.
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 26/760, 8325/5720?
Answer: LCM of Numerators as per given numbers 26/760, 8325/5720 is
LCM of Numerators i.e. for 26,8325 is 216450
GCF of denominators i.e. for 760,5720 is 40.
Thus, LCM of Fractions is 216450/40.Finally, LCM of Fractions for 26/760, 8325/5720 is 216450/40.