Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/858, 10/345, 704/773 quickly i.e. 306240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/858, 10/345, 704/773 is 306240.
LCM(87/858, 10/345, 704/773) = 306240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/858,10/345,704/773
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 87,10,704
Least Common Multiple of Numerators i.e. LCM of 87,10,704 is 306240.
GCF of Denominators means GCF of 858,345,773 as per the given fractions.
GCF of 858,345,773 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,10,704
2 | 87, 10, 704 |
87, 5, 352 |
∴ So the LCM of the given numbers is 2 x 87 x 5 x 352 = 306240
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 87,10,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,10,704) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(87,10,704) x common factors =1 x 2 = 2
LCM(87,10,704) = ( 87 × 10 × 704 ) / 2
LCM(87,10,704) = 612480 / 2
LCM(87,10,704) = 306240
Lets's calculate GCF of 858,345,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306240/1
Therefore the LCM of Fractions 87/858,10/345,704/773 is 306240
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Factors of 345
List of positive integer factors of 345 that divides 345 without a remainder.
1,3,5,15,23,69,115,345
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 858,345,773 . The biggest common factor number is the GCF number.
So the greatest common factor 858,345,773 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 87/858, 10/345, 704/773?
Answer: LCM of Numerators as per given numbers 87/858, 10/345, 704/773 is
LCM of Numerators i.e. for 87,10,704 is 306240
GCF of denominators i.e. for 858,345,773 is 1.
Thus, LCM of Fractions is 306240.Finally, LCM of Fractions for 87/858, 10/345, 704/773 is 306240.