Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 49/10, 82/55, 21/17, 64/453 quickly i.e. 385728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 49/10, 82/55, 21/17, 64/453 is 385728.
LCM(49/10, 82/55, 21/17, 64/453) = 385728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 49/10,82/55,21/17,64/453
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 49,82,21,64
Least Common Multiple of Numerators i.e. LCM of 49,82,21,64 is 385728.
GCF of Denominators means GCF of 10,55,17,453 as per the given fractions.
GCF of 10,55,17,453 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 49,82,21,64
2 | 49, 82, 21, 64 |
7 | 49, 41, 21, 32 |
7, 41, 3, 32 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 41 x 3 x 32 = 385728
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 49,82,21,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,82,21,64) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(49,82,21,64) x common factors =1 x 14 = 14
LCM(49,82,21,64) = ( 49 × 82 × 21 × 64 ) / 14
LCM(49,82,21,64) = 5400192 / 14
LCM(49,82,21,64) = 385728
Lets's calculate GCF of 10,55,17,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385728/1
Therefore the LCM of Fractions 49/10,82/55,21/17,64/453 is 385728
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 10,55,17,453 . The biggest common factor number is the GCF number.
So the greatest common factor 10,55,17,453 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 49/10, 82/55, 21/17, 64/453?
Answer: LCM of Numerators as per given numbers 49/10, 82/55, 21/17, 64/453 is
LCM of Numerators i.e. for 49,82,21,64 is 385728
GCF of denominators i.e. for 10,55,17,453 is 1.
Thus, LCM of Fractions is 385728.Finally, LCM of Fractions for 49/10, 82/55, 21/17, 64/453 is 385728.