Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/272, 520/445, 573/363 quickly i.e. 9236760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/272, 520/445, 573/363 is 9236760.
LCM(62/272, 520/445, 573/363) = 9236760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/272,520/445,573/363
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 62,520,573
Least Common Multiple of Numerators i.e. LCM of 62,520,573 is 9236760.
GCF of Denominators means GCF of 272,445,363 as per the given fractions.
GCF of 272,445,363 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,520,573
2 | 62, 520, 573 |
31, 260, 573 |
∴ So the LCM of the given numbers is 2 x 31 x 260 x 573 = 9236760
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 62,520,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,520,573) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,520,573) x common factors =1 x 2 = 2
LCM(62,520,573) = ( 62 × 520 × 573 ) / 2
LCM(62,520,573) = 18473520 / 2
LCM(62,520,573) = 9236760
Lets's calculate GCF of 272,445,363
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9236760/1
Therefore the LCM of Fractions 62/272,520/445,573/363 is 9236760
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 363
List of positive integer factors of 363 that divides 363 without a remainder.
1,3,11,33,121,363
Greatest Common Factor
We found the factors 272,445,363 . The biggest common factor number is the GCF number.
So the greatest common factor 272,445,363 is 1.
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 62/272, 520/445, 573/363?
Answer: LCM of Numerators as per given numbers 62/272, 520/445, 573/363 is
LCM of Numerators i.e. for 62,520,573 is 9236760
GCF of denominators i.e. for 272,445,363 is 1.
Thus, LCM of Fractions is 9236760.Finally, LCM of Fractions for 62/272, 520/445, 573/363 is 9236760.