Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 755/58, 520/76, 806/444 quickly i.e. 1217060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 755/58, 520/76, 806/444 is 1217060.
LCM(755/58, 520/76, 806/444) = 1217060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 755/58,520/76,806/444
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 755,520,806
Least Common Multiple of Numerators i.e. LCM of 755,520,806 is 2434120.
GCF of Denominators means GCF of 58,76,444 as per the given fractions.
GCF of 58,76,444 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 755,520,806
2 | 755, 520, 806 |
5 | 755, 260, 403 |
13 | 151, 52, 403 |
151, 4, 31 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 151 x 4 x 31 = 2434120
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 755,520,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(755,520,806) = 1
common factors(in case of two or more numbers have common factors) = 130
GCF(755,520,806) x common factors =1 x 130 = 130
LCM(755,520,806) = ( 755 × 520 × 806 ) / 130
LCM(755,520,806) = 316435600 / 130
LCM(755,520,806) = 2434120
Lets's calculate GCF of 58,76,444
2 | 58, 76, 444 |
29, 38, 222 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2434120/2
Therefore the LCM of Fractions 755/58,520/76,806/444 is 1217060
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 444
List of positive integer factors of 444 that divides 444 without a remainder.
1,2,3,4,6,12,37,74,111,148,222,444
Greatest Common Factor
We found the factors 58,76,444 . The biggest common factor number is the GCF number.
So the greatest common factor 58,76,444 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 755/58, 520/76, 806/444?
Answer: LCM of Numerators as per given numbers 755/58, 520/76, 806/444 is
LCM of Numerators i.e. for 755,520,806 is 2434120
GCF of denominators i.e. for 58,76,444 is 2.
Thus, LCM of Fractions is 1217060.Finally, LCM of Fractions for 755/58, 520/76, 806/444 is 1217060.