Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/573, 49/258, 64/730 quickly i.e. 3136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/573, 49/258, 64/730 is 3136.
LCM(1/573, 49/258, 64/730) = 3136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/573,49/258,64/730
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 1,49,64
Least Common Multiple of Numerators i.e. LCM of 1,49,64 is 3136.
GCF of Denominators means GCF of 573,258,730 as per the given fractions.
GCF of 573,258,730 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,49,64
Given numbers has no common factors except 1. So, there LCM is their product i.e 3136
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 1,49,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,49,64) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,49,64) x common factors =1 x 1 = 1
LCM(1,49,64) = ( 1 × 49 × 64 ) / 1
LCM(1,49,64) = 3136 / 1
LCM(1,49,64) = 3136
Lets's calculate GCF of 573,258,730
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3136/1
Therefore the LCM of Fractions 1/573,49/258,64/730 is 3136
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 573,258,730 . The biggest common factor number is the GCF number.
So the greatest common factor 573,258,730 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 1/573, 49/258, 64/730?
Answer: LCM of Numerators as per given numbers 1/573, 49/258, 64/730 is
LCM of Numerators i.e. for 1,49,64 is 3136
GCF of denominators i.e. for 573,258,730 is 1.
Thus, LCM of Fractions is 3136.Finally, LCM of Fractions for 1/573, 49/258, 64/730 is 3136.