Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/62, 44/402, 586/550 quickly i.e. 341638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/62, 44/402, 586/550 is 341638.
LCM(53/62, 44/402, 586/550) = 341638
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/62,44/402,586/550
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 53,44,586
Least Common Multiple of Numerators i.e. LCM of 53,44,586 is 683276.
GCF of Denominators means GCF of 62,402,550 as per the given fractions.
GCF of 62,402,550 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,44,586
2 | 53, 44, 586 |
53, 22, 293 |
∴ So the LCM of the given numbers is 2 x 53 x 22 x 293 = 683276
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 53,44,586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,44,586) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,44,586) x common factors =1 x 2 = 2
LCM(53,44,586) = ( 53 × 44 × 586 ) / 2
LCM(53,44,586) = 1366552 / 2
LCM(53,44,586) = 683276
Lets's calculate GCF of 62,402,550
2 | 62, 402, 550 |
31, 201, 275 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 683276/2
Therefore the LCM of Fractions 53/62,44/402,586/550 is 341638
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 62,402,550 . The biggest common factor number is the GCF number.
So the greatest common factor 62,402,550 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 53/62, 44/402, 586/550?
Answer: LCM of Numerators as per given numbers 53/62, 44/402, 586/550 is
LCM of Numerators i.e. for 53,44,586 is 683276
GCF of denominators i.e. for 62,402,550 is 2.
Thus, LCM of Fractions is 341638.Finally, LCM of Fractions for 53/62, 44/402, 586/550 is 341638.