Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 509/85, 828/66, 766/795 quickly i.e. 161416116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 509/85, 828/66, 766/795 is 161416116.
LCM(509/85, 828/66, 766/795) = 161416116
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 509/85,828/66,766/795
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 509,828,766
Least Common Multiple of Numerators i.e. LCM of 509,828,766 is 161416116.
GCF of Denominators means GCF of 85,66,795 as per the given fractions.
GCF of 85,66,795 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 509,828,766
2 | 509, 828, 766 |
509, 414, 383 |
∴ So the LCM of the given numbers is 2 x 509 x 414 x 383 = 161416116
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 509,828,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,828,766) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(509,828,766) x common factors =1 x 2 = 2
LCM(509,828,766) = ( 509 × 828 × 766 ) / 2
LCM(509,828,766) = 322832232 / 2
LCM(509,828,766) = 161416116
Lets's calculate GCF of 85,66,795
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161416116/1
Therefore the LCM of Fractions 509/85,828/66,766/795 is 161416116
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 85,66,795 . The biggest common factor number is the GCF number.
So the greatest common factor 85,66,795 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 509/85, 828/66, 766/795?
Answer: LCM of Numerators as per given numbers 509/85, 828/66, 766/795 is
LCM of Numerators i.e. for 509,828,766 is 161416116
GCF of denominators i.e. for 85,66,795 is 1.
Thus, LCM of Fractions is 161416116.Finally, LCM of Fractions for 509/85, 828/66, 766/795 is 161416116.