Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 522/58, 418/36, 745/780 quickly i.e. 40639005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 522/58, 418/36, 745/780 is 40639005.
LCM(522/58, 418/36, 745/780) = 40639005
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 522/58,418/36,745/780
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 522,418,745
Least Common Multiple of Numerators i.e. LCM of 522,418,745 is 81278010.
GCF of Denominators means GCF of 58,36,780 as per the given fractions.
GCF of 58,36,780 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 522,418,745
2 | 522, 418, 745 |
261, 209, 745 |
∴ So the LCM of the given numbers is 2 x 261 x 209 x 745 = 81278010
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 522,418,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,418,745) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(522,418,745) x common factors =1 x 2 = 2
LCM(522,418,745) = ( 522 × 418 × 745 ) / 2
LCM(522,418,745) = 162556020 / 2
LCM(522,418,745) = 81278010
Lets's calculate GCF of 58,36,780
2 | 58, 36, 780 |
29, 18, 390 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81278010/2
Therefore the LCM of Fractions 522/58,418/36,745/780 is 40639005
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Greatest Common Factor
We found the factors 58,36,780 . The biggest common factor number is the GCF number.
So the greatest common factor 58,36,780 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 522/58, 418/36, 745/780?
Answer: LCM of Numerators as per given numbers 522/58, 418/36, 745/780 is
LCM of Numerators i.e. for 522,418,745 is 81278010
GCF of denominators i.e. for 58,36,780 is 2.
Thus, LCM of Fractions is 40639005.Finally, LCM of Fractions for 522/58, 418/36, 745/780 is 40639005.