Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8034/689, 7995/764 quickly i.e. 1646970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8034/689, 7995/764 is 1646970.
LCM(8034/689, 7995/764) = 1646970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8034/689,7995/764
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 8034,7995
Least Common Multiple of Numerators i.e. LCM of 8034,7995 is 1646970.
GCF of Denominators means GCF of 689,764 as per the given fractions.
GCF of 689,764 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8034,7995
3 | 8034, 7995 |
13 | 2678, 2665 |
206, 205 |
∴ So the LCM of the given numbers is 3 x 13 x 206 x 205 = 1646970
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 8034,7995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8034,7995) = 39
common factors(in case of two or more numbers have common factors) = 1
GCF(8034,7995) x common factors =39 x 1 = 39
LCM(8034,7995) = ( 8034 × 7995 ) / 39
LCM(8034,7995) = 64231830 / 39
LCM(8034,7995) = 1646970
Lets's calculate GCF of 689,764
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1646970/1
Therefore the LCM of Fractions 8034/689,7995/764 is 1646970
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Greatest Common Factor
We found the factors 689,764 . The biggest common factor number is the GCF number.
So the greatest common factor 689,764 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 8034/689, 7995/764?
Answer: LCM of Numerators as per given numbers 8034/689, 7995/764 is
LCM of Numerators i.e. for 8034,7995 is 1646970
GCF of denominators i.e. for 689,764 is 1.
Thus, LCM of Fractions is 1646970.Finally, LCM of Fractions for 8034/689, 7995/764 is 1646970.