Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 929/86, 929/72, 750/759 quickly i.e. 696750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 929/86, 929/72, 750/759 is 696750.
LCM(929/86, 929/72, 750/759) = 696750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 929/86,929/72,750/759
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 929,929,750
Least Common Multiple of Numerators i.e. LCM of 929,929,750 is 696750.
GCF of Denominators means GCF of 86,72,759 as per the given fractions.
GCF of 86,72,759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 929,929,750
929 | 929, 929, 750 |
1, 1, 750 |
∴ So the LCM of the given numbers is 929 x 1 x 1 x 750 = 696750
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 929,929,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,929,750) = 1
common factors(in case of two or more numbers have common factors) = 929
GCF(929,929,750) x common factors =1 x 929 = 929
LCM(929,929,750) = ( 929 × 929 × 750 ) / 929
LCM(929,929,750) = 647280750 / 929
LCM(929,929,750) = 696750
Lets's calculate GCF of 86,72,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 696750/1
Therefore the LCM of Fractions 929/86,929/72,750/759 is 696750
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 86,72,759 . The biggest common factor number is the GCF number.
So the greatest common factor 86,72,759 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 929/86, 929/72, 750/759?
Answer: LCM of Numerators as per given numbers 929/86, 929/72, 750/759 is
LCM of Numerators i.e. for 929,929,750 is 696750
GCF of denominators i.e. for 86,72,759 is 1.
Thus, LCM of Fractions is 696750.Finally, LCM of Fractions for 929/86, 929/72, 750/759 is 696750.