Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/914, 775/717, 715/557 quickly i.e. 9087650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/914, 775/717, 715/557 is 9087650.
LCM(82/914, 775/717, 715/557) = 9087650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/914,775/717,715/557
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 82,775,715
Least Common Multiple of Numerators i.e. LCM of 82,775,715 is 9087650.
GCF of Denominators means GCF of 914,717,557 as per the given fractions.
GCF of 914,717,557 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,775,715
5 | 82, 775, 715 |
82, 155, 143 |
∴ So the LCM of the given numbers is 5 x 82 x 155 x 143 = 9087650
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 82,775,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,775,715) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(82,775,715) x common factors =1 x 5 = 5
LCM(82,775,715) = ( 82 × 775 × 715 ) / 5
LCM(82,775,715) = 45438250 / 5
LCM(82,775,715) = 9087650
Lets's calculate GCF of 914,717,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9087650/1
Therefore the LCM of Fractions 82/914,775/717,715/557 is 9087650
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 717
List of positive integer factors of 717 that divides 717 without a remainder.
1,3,239,717
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Greatest Common Factor
We found the factors 914,717,557 . The biggest common factor number is the GCF number.
So the greatest common factor 914,717,557 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 82/914, 775/717, 715/557?
Answer: LCM of Numerators as per given numbers 82/914, 775/717, 715/557 is
LCM of Numerators i.e. for 82,775,715 is 9087650
GCF of denominators i.e. for 914,717,557 is 1.
Thus, LCM of Fractions is 9087650.Finally, LCM of Fractions for 82/914, 775/717, 715/557 is 9087650.