Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/989, 523/184, 554/785 quickly i.e. 24628070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/989, 523/184, 554/785 is 24628070.
LCM(85/989, 523/184, 554/785) = 24628070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/989,523/184,554/785
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 85,523,554
Least Common Multiple of Numerators i.e. LCM of 85,523,554 is 24628070.
GCF of Denominators means GCF of 989,184,785 as per the given fractions.
GCF of 989,184,785 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,523,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 24628070
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 85,523,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,523,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,523,554) x common factors =1 x 1 = 1
LCM(85,523,554) = ( 85 × 523 × 554 ) / 1
LCM(85,523,554) = 24628070 / 1
LCM(85,523,554) = 24628070
Lets's calculate GCF of 989,184,785
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24628070/1
Therefore the LCM of Fractions 85/989,523/184,554/785 is 24628070
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1,5,157,785
Greatest Common Factor
We found the factors 989,184,785 . The biggest common factor number is the GCF number.
So the greatest common factor 989,184,785 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 85/989, 523/184, 554/785?
Answer: LCM of Numerators as per given numbers 85/989, 523/184, 554/785 is
LCM of Numerators i.e. for 85,523,554 is 24628070
GCF of denominators i.e. for 989,184,785 is 1.
Thus, LCM of Fractions is 24628070.Finally, LCM of Fractions for 85/989, 523/184, 554/785 is 24628070.