Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 976/105, 462/322, 358/859 quickly i.e. 40356624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 976/105, 462/322, 358/859 is 40356624.
LCM(976/105, 462/322, 358/859) = 40356624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 976/105,462/322,358/859
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 976,462,358
Least Common Multiple of Numerators i.e. LCM of 976,462,358 is 40356624.
GCF of Denominators means GCF of 105,322,859 as per the given fractions.
GCF of 105,322,859 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 976,462,358
2 | 976, 462, 358 |
488, 231, 179 |
∴ So the LCM of the given numbers is 2 x 488 x 231 x 179 = 40356624
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 976,462,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,462,358) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(976,462,358) x common factors =2 x 2 = 4
LCM(976,462,358) = ( 976 × 462 × 358 ) / 4
LCM(976,462,358) = 161426496 / 4
LCM(976,462,358) = 40356624
Lets's calculate GCF of 105,322,859
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40356624/1
Therefore the LCM of Fractions 976/105,462/322,358/859 is 40356624
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Greatest Common Factor
We found the factors 105,322,859 . The biggest common factor number is the GCF number.
So the greatest common factor 105,322,859 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 976/105, 462/322, 358/859?
Answer: LCM of Numerators as per given numbers 976/105, 462/322, 358/859 is
LCM of Numerators i.e. for 976,462,358 is 40356624
GCF of denominators i.e. for 105,322,859 is 1.
Thus, LCM of Fractions is 40356624.Finally, LCM of Fractions for 976/105, 462/322, 358/859 is 40356624.