Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/483, 695/944, 700/711 quickly i.e. 8659700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/483, 695/944, 700/711 is 8659700.
LCM(89/483, 695/944, 700/711) = 8659700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/483,695/944,700/711
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 89,695,700
Least Common Multiple of Numerators i.e. LCM of 89,695,700 is 8659700.
GCF of Denominators means GCF of 483,944,711 as per the given fractions.
GCF of 483,944,711 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,695,700
5 | 89, 695, 700 |
89, 139, 140 |
∴ So the LCM of the given numbers is 5 x 89 x 139 x 140 = 8659700
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 89,695,700 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,695,700) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(89,695,700) x common factors =1 x 5 = 5
LCM(89,695,700) = ( 89 × 695 × 700 ) / 5
LCM(89,695,700) = 43298500 / 5
LCM(89,695,700) = 8659700
Lets's calculate GCF of 483,944,711
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8659700/1
Therefore the LCM of Fractions 89/483,695/944,700/711 is 8659700
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 944
List of positive integer factors of 944 that divides 944 without a remainder.
1,2,4,8,16,59,118,236,472,944
Factors of 711
List of positive integer factors of 711 that divides 711 without a remainder.
1,3,9,79,237,711
Greatest Common Factor
We found the factors 483,944,711 . The biggest common factor number is the GCF number.
So the greatest common factor 483,944,711 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 89/483, 695/944, 700/711?
Answer: LCM of Numerators as per given numbers 89/483, 695/944, 700/711 is
LCM of Numerators i.e. for 89,695,700 is 8659700
GCF of denominators i.e. for 483,944,711 is 1.
Thus, LCM of Fractions is 8659700.Finally, LCM of Fractions for 89/483, 695/944, 700/711 is 8659700.