Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 237/592, 4015/7176 quickly i.e. 951555/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 237/592, 4015/7176 is 951555/8.
LCM(237/592, 4015/7176) = 951555/8
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 237/592,4015/7176
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 237,4015
Least Common Multiple of Numerators i.e. LCM of 237,4015 is 951555.
GCF of Denominators means GCF of 592,7176 as per the given fractions.
GCF of 592,7176 is 8 as it is the largest common factor for these numbers.
Lets's calculate LCM of 237,4015
Given numbers has no common factors except 1. So, there LCM is their product i.e 951555
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 237,4015 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(237,4015) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(237,4015) x common factors =1 x 1 = 1
LCM(237,4015) = ( 237 × 4015 ) / 1
LCM(237,4015) = 951555 / 1
LCM(237,4015) = 951555
Lets's calculate GCF of 592,7176
2 | 592, 7176 |
2 | 296, 3588 |
2 | 148, 1794 |
74, 897 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 951555/8
Therefore the LCM of Fractions 237/592,4015/7176 is 951555/8
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 7176
List of positive integer factors of 7176 that divides 7176 without a remainder.
1,2,3,4,6,8,12,13,23,24,26,39,46,52,69,78,92,104,138,156,184,276,299,312,552,598,897,1196,1794,2392,3588,7176
Greatest Common Factor
We found the factors 592,7176 . The biggest common factor number is the GCF number.
So the greatest common factor 592,7176 is 8.
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 237/592, 4015/7176?
Answer: LCM of Numerators as per given numbers 237/592, 4015/7176 is
LCM of Numerators i.e. for 237,4015 is 951555
GCF of denominators i.e. for 592,7176 is 8.
Thus, LCM of Fractions is 951555/8.Finally, LCM of Fractions for 237/592, 4015/7176 is 951555/8.