Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 759/88, 981/80, 460/631 quickly i.e. 4963860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 759/88, 981/80, 460/631 is 4963860.
LCM(759/88, 981/80, 460/631) = 4963860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 759/88,981/80,460/631
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 759,981,460
Least Common Multiple of Numerators i.e. LCM of 759,981,460 is 4963860.
GCF of Denominators means GCF of 88,80,631 as per the given fractions.
GCF of 88,80,631 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 759,981,460
3 | 759, 981, 460 |
23 | 253, 327, 460 |
11, 327, 20 |
∴ So the LCM of the given numbers is 3 x 23 x 11 x 327 x 20 = 4963860
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 759,981,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,981,460) = 1
common factors(in case of two or more numbers have common factors) = 69
GCF(759,981,460) x common factors =1 x 69 = 69
LCM(759,981,460) = ( 759 × 981 × 460 ) / 69
LCM(759,981,460) = 342506340 / 69
LCM(759,981,460) = 4963860
Lets's calculate GCF of 88,80,631
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4963860/1
Therefore the LCM of Fractions 759/88,981/80,460/631 is 4963860
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 631
List of positive integer factors of 631 that divides 631 without a remainder.
1,631
Greatest Common Factor
We found the factors 88,80,631 . The biggest common factor number is the GCF number.
So the greatest common factor 88,80,631 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 759/88, 981/80, 460/631?
Answer: LCM of Numerators as per given numbers 759/88, 981/80, 460/631 is
LCM of Numerators i.e. for 759,981,460 is 4963860
GCF of denominators i.e. for 88,80,631 is 1.
Thus, LCM of Fractions is 4963860.Finally, LCM of Fractions for 759/88, 981/80, 460/631 is 4963860.