Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/29, 39/752, 85/708 quickly i.e. 26520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/29, 39/752, 85/708 is 26520.
LCM(8/29, 39/752, 85/708) = 26520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/29,39/752,85/708
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 8,39,85
Least Common Multiple of Numerators i.e. LCM of 8,39,85 is 26520.
GCF of Denominators means GCF of 29,752,708 as per the given fractions.
GCF of 29,752,708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,39,85
Given numbers has no common factors except 1. So, there LCM is their product i.e 26520
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 8,39,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,39,85) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8,39,85) x common factors =1 x 1 = 1
LCM(8,39,85) = ( 8 × 39 × 85 ) / 1
LCM(8,39,85) = 26520 / 1
LCM(8,39,85) = 26520
Lets's calculate GCF of 29,752,708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26520/1
Therefore the LCM of Fractions 8/29,39/752,85/708 is 26520
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Greatest Common Factor
We found the factors 29,752,708 . The biggest common factor number is the GCF number.
So the greatest common factor 29,752,708 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 8/29, 39/752, 85/708?
Answer: LCM of Numerators as per given numbers 8/29, 39/752, 85/708 is
LCM of Numerators i.e. for 8,39,85 is 26520
GCF of denominators i.e. for 29,752,708 is 1.
Thus, LCM of Fractions is 26520.Finally, LCM of Fractions for 8/29, 39/752, 85/708 is 26520.