Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 740/582, 1161/368 quickly i.e. 429570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 740/582, 1161/368 is 429570.
LCM(740/582, 1161/368) = 429570
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 740/582,1161/368
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 740,1161
Least Common Multiple of Numerators i.e. LCM of 740,1161 is 859140.
GCF of Denominators means GCF of 582,368 as per the given fractions.
GCF of 582,368 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 740,1161
Given numbers has no common factors except 1. So, there LCM is their product i.e 859140
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 740,1161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,1161) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(740,1161) x common factors =1 x 1 = 1
LCM(740,1161) = ( 740 × 1161 ) / 1
LCM(740,1161) = 859140 / 1
LCM(740,1161) = 859140
Lets's calculate GCF of 582,368
2 | 582, 368 |
291, 184 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 859140/2
Therefore the LCM of Fractions 740/582,1161/368 is 429570
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
Greatest Common Factor
We found the factors 582,368 . The biggest common factor number is the GCF number.
So the greatest common factor 582,368 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 740/582, 1161/368?
Answer: LCM of Numerators as per given numbers 740/582, 1161/368 is
LCM of Numerators i.e. for 740,1161 is 859140
GCF of denominators i.e. for 582,368 is 2.
Thus, LCM of Fractions is 429570.Finally, LCM of Fractions for 740/582, 1161/368 is 429570.