Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9020/87, 1992/659 quickly i.e. 4491960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9020/87, 1992/659 is 4491960.
LCM(9020/87, 1992/659) = 4491960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9020/87,1992/659
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 9020,1992
Least Common Multiple of Numerators i.e. LCM of 9020,1992 is 4491960.
GCF of Denominators means GCF of 87,659 as per the given fractions.
GCF of 87,659 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9020,1992
2 | 9020, 1992 |
2 | 4510, 996 |
2255, 498 |
∴ So the LCM of the given numbers is 2 x 2 x 2255 x 498 = 4491960
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 9020,1992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9020,1992) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9020,1992) x common factors =4 x 1 = 4
LCM(9020,1992) = ( 9020 × 1992 ) / 4
LCM(9020,1992) = 17967840 / 4
LCM(9020,1992) = 4491960
Lets's calculate GCF of 87,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4491960/1
Therefore the LCM of Fractions 9020/87,1992/659 is 4491960
Factors of 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Greatest Common Factor
We found the factors 87,659 . The biggest common factor number is the GCF number.
So the greatest common factor 87,659 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 9020/87, 1992/659?
Answer: LCM of Numerators as per given numbers 9020/87, 1992/659 is
LCM of Numerators i.e. for 9020,1992 is 4491960
GCF of denominators i.e. for 87,659 is 1.
Thus, LCM of Fractions is 4491960.Finally, LCM of Fractions for 9020/87, 1992/659 is 4491960.