Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/96, 251/27, 852/782 quickly i.e. 146488620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/96, 251/27, 852/782 is 146488620.
LCM(685/96, 251/27, 852/782) = 146488620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/96,251/27,852/782
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 685,251,852
Least Common Multiple of Numerators i.e. LCM of 685,251,852 is 146488620.
GCF of Denominators means GCF of 96,27,782 as per the given fractions.
GCF of 96,27,782 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,251,852
Given numbers has no common factors except 1. So, there LCM is their product i.e 146488620
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 685,251,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,251,852) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,251,852) x common factors =1 x 1 = 1
LCM(685,251,852) = ( 685 × 251 × 852 ) / 1
LCM(685,251,852) = 146488620 / 1
LCM(685,251,852) = 146488620
Lets's calculate GCF of 96,27,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 146488620/1
Therefore the LCM of Fractions 685/96,251/27,852/782 is 146488620
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 96,27,782 . The biggest common factor number is the GCF number.
So the greatest common factor 96,27,782 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 685/96, 251/27, 852/782?
Answer: LCM of Numerators as per given numbers 685/96, 251/27, 852/782 is
LCM of Numerators i.e. for 685,251,852 is 146488620
GCF of denominators i.e. for 96,27,782 is 1.
Thus, LCM of Fractions is 146488620.Finally, LCM of Fractions for 685/96, 251/27, 852/782 is 146488620.