Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 293/58, 239/97, 761/16 quickly i.e. 53290547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 293/58, 239/97, 761/16 is 53290547.
LCM(293/58, 239/97, 761/16) = 53290547
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 293/58,239/97,761/16
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 293,239,761
Least Common Multiple of Numerators i.e. LCM of 293,239,761 is 53290547.
GCF of Denominators means GCF of 58,97,16 as per the given fractions.
GCF of 58,97,16 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 293,239,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 53290547
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 293,239,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,239,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(293,239,761) x common factors =1 x 1 = 1
LCM(293,239,761) = ( 293 × 239 × 761 ) / 1
LCM(293,239,761) = 53290547 / 1
LCM(293,239,761) = 53290547
Lets's calculate GCF of 58,97,16
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53290547/1
Therefore the LCM of Fractions 293/58,239/97,761/16 is 53290547
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Greatest Common Factor
We found the factors 58,97,16 . The biggest common factor number is the GCF number.
So the greatest common factor 58,97,16 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 293/58, 239/97, 761/16?
Answer: LCM of Numerators as per given numbers 293/58, 239/97, 761/16 is
LCM of Numerators i.e. for 293,239,761 is 53290547
GCF of denominators i.e. for 58,97,16 is 1.
Thus, LCM of Fractions is 53290547.Finally, LCM of Fractions for 293/58, 239/97, 761/16 is 53290547.