Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 759/24, 560/9750 quickly i.e. 70840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 759/24, 560/9750 is 70840.
LCM(759/24, 560/9750) = 70840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 759/24,560/9750
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 759,560
Least Common Multiple of Numerators i.e. LCM of 759,560 is 425040.
GCF of Denominators means GCF of 24,9750 as per the given fractions.
GCF of 24,9750 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 759,560
Given numbers has no common factors except 1. So, there LCM is their product i.e 425040
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 759,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,560) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(759,560) x common factors =1 x 1 = 1
LCM(759,560) = ( 759 × 560 ) / 1
LCM(759,560) = 425040 / 1
LCM(759,560) = 425040
Lets's calculate GCF of 24,9750
2 | 24, 9750 |
3 | 12, 4875 |
4, 1625 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425040/6
Therefore the LCM of Fractions 759/24,560/9750 is 70840
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 9750
List of positive integer factors of 9750 that divides 9750 without a remainder.
1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 24,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 24,9750 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 759/24, 560/9750?
Answer: LCM of Numerators as per given numbers 759/24, 560/9750 is
LCM of Numerators i.e. for 759,560 is 425040
GCF of denominators i.e. for 24,9750 is 6.
Thus, LCM of Fractions is 70840.Finally, LCM of Fractions for 759/24, 560/9750 is 70840.