Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9520/59, 1722/505 quickly i.e. 1170960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9520/59, 1722/505 is 1170960.
LCM(9520/59, 1722/505) = 1170960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9520/59,1722/505
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 9520,1722
Least Common Multiple of Numerators i.e. LCM of 9520,1722 is 1170960.
GCF of Denominators means GCF of 59,505 as per the given fractions.
GCF of 59,505 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9520,1722
2 | 9520, 1722 |
7 | 4760, 861 |
680, 123 |
∴ So the LCM of the given numbers is 2 x 7 x 680 x 123 = 1170960
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 9520,1722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9520,1722) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(9520,1722) x common factors =14 x 1 = 14
LCM(9520,1722) = ( 9520 × 1722 ) / 14
LCM(9520,1722) = 16393440 / 14
LCM(9520,1722) = 1170960
Lets's calculate GCF of 59,505
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170960/1
Therefore the LCM of Fractions 9520/59,1722/505 is 1170960
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 505
List of positive integer factors of 505 that divides 505 without a remainder.
1,5,101,505
Greatest Common Factor
We found the factors 59,505 . The biggest common factor number is the GCF number.
So the greatest common factor 59,505 is 1.
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 9520/59, 1722/505?
Answer: LCM of Numerators as per given numbers 9520/59, 1722/505 is
LCM of Numerators i.e. for 9520,1722 is 1170960
GCF of denominators i.e. for 59,505 is 1.
Thus, LCM of Fractions is 1170960.Finally, LCM of Fractions for 9520/59, 1722/505 is 1170960.