Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 293/44, 764/58, 760/767 quickly i.e. 42531880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 293/44, 764/58, 760/767 is 42531880.
LCM(293/44, 764/58, 760/767) = 42531880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 293/44,764/58,760/767
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 293,764,760
Least Common Multiple of Numerators i.e. LCM of 293,764,760 is 42531880.
GCF of Denominators means GCF of 44,58,767 as per the given fractions.
GCF of 44,58,767 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 293,764,760
2 | 293, 764, 760 |
2 | 293, 382, 380 |
293, 191, 190 |
∴ So the LCM of the given numbers is 2 x 2 x 293 x 191 x 190 = 42531880
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 293,764,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(293,764,760) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(293,764,760) x common factors =1 x 4 = 4
LCM(293,764,760) = ( 293 × 764 × 760 ) / 4
LCM(293,764,760) = 170127520 / 4
LCM(293,764,760) = 42531880
Lets's calculate GCF of 44,58,767
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42531880/1
Therefore the LCM of Fractions 293/44,764/58,760/767 is 42531880
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 767
List of positive integer factors of 767 that divides 767 without a remainder.
1,13,59,767
Greatest Common Factor
We found the factors 44,58,767 . The biggest common factor number is the GCF number.
So the greatest common factor 44,58,767 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 293/44, 764/58, 760/767?
Answer: LCM of Numerators as per given numbers 293/44, 764/58, 760/767 is
LCM of Numerators i.e. for 293,764,760 is 42531880
GCF of denominators i.e. for 44,58,767 is 1.
Thus, LCM of Fractions is 42531880.Finally, LCM of Fractions for 293/44, 764/58, 760/767 is 42531880.