Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/854, 29/458, 259/172 quickly i.e. 240352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/854, 29/458, 259/172 is 240352.
LCM(64/854, 29/458, 259/172) = 240352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/854,29/458,259/172
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 64,29,259
Least Common Multiple of Numerators i.e. LCM of 64,29,259 is 480704.
GCF of Denominators means GCF of 854,458,172 as per the given fractions.
GCF of 854,458,172 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,29,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 480704
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 64,29,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,29,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,29,259) x common factors =1 x 1 = 1
LCM(64,29,259) = ( 64 × 29 × 259 ) / 1
LCM(64,29,259) = 480704 / 1
LCM(64,29,259) = 480704
Lets's calculate GCF of 854,458,172
2 | 854, 458, 172 |
427, 229, 86 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480704/2
Therefore the LCM of Fractions 64/854,29/458,259/172 is 240352
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 172
List of positive integer factors of 172 that divides 172 without a remainder.
1,2,4,43,86,172
Greatest Common Factor
We found the factors 854,458,172 . The biggest common factor number is the GCF number.
So the greatest common factor 854,458,172 is 2.
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 64/854, 29/458, 259/172?
Answer: LCM of Numerators as per given numbers 64/854, 29/458, 259/172 is
LCM of Numerators i.e. for 64,29,259 is 480704
GCF of denominators i.e. for 854,458,172 is 2.
Thus, LCM of Fractions is 240352.Finally, LCM of Fractions for 64/854, 29/458, 259/172 is 240352.