Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 53/545, 50/670, 502/385 quickly i.e. 133030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 53/545, 50/670, 502/385 is 133030.
LCM(53/545, 50/670, 502/385) = 133030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 53/545,50/670,502/385
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 53,50,502
Least Common Multiple of Numerators i.e. LCM of 53,50,502 is 665150.
GCF of Denominators means GCF of 545,670,385 as per the given fractions.
GCF of 545,670,385 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 53,50,502
2 | 53, 50, 502 |
53, 25, 251 |
∴ So the LCM of the given numbers is 2 x 53 x 25 x 251 = 665150
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 53,50,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,50,502) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(53,50,502) x common factors =1 x 2 = 2
LCM(53,50,502) = ( 53 × 50 × 502 ) / 2
LCM(53,50,502) = 1330300 / 2
LCM(53,50,502) = 665150
Lets's calculate GCF of 545,670,385
5 | 545, 670, 385 |
109, 134, 77 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 665150/5
Therefore the LCM of Fractions 53/545,50/670,502/385 is 133030
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 545,670,385 . The biggest common factor number is the GCF number.
So the greatest common factor 545,670,385 is 5.
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 53/545, 50/670, 502/385?
Answer: LCM of Numerators as per given numbers 53/545, 50/670, 502/385 is
LCM of Numerators i.e. for 53,50,502 is 665150
GCF of denominators i.e. for 545,670,385 is 5.
Thus, LCM of Fractions is 133030.Finally, LCM of Fractions for 53/545, 50/670, 502/385 is 133030.