Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 56/69, 35/44, 21/62, 64/499 quickly i.e. 6720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 56/69, 35/44, 21/62, 64/499 is 6720.
LCM(56/69, 35/44, 21/62, 64/499) = 6720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 56/69,35/44,21/62,64/499
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 56,35,21,64
Least Common Multiple of Numerators i.e. LCM of 56,35,21,64 is 6720.
GCF of Denominators means GCF of 69,44,62,499 as per the given fractions.
GCF of 69,44,62,499 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 56,35,21,64
2 | 56, 35, 21, 64 |
2 | 28, 35, 21, 32 |
2 | 14, 35, 21, 16 |
7 | 7, 35, 21, 8 |
1, 5, 3, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 5 x 3 x 8 = 6720
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 56,35,21,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,35,21,64) = 1
common factors(in case of two or more numbers have common factors) = 392
GCF(56,35,21,64) x common factors =1 x 392 = 392
LCM(56,35,21,64) = ( 56 × 35 × 21 × 64 ) / 392
LCM(56,35,21,64) = 2634240 / 392
LCM(56,35,21,64) = 6720
Lets's calculate GCF of 69,44,62,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6720/1
Therefore the LCM of Fractions 56/69,35/44,21/62,64/499 is 6720
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 69,44,62,499 . The biggest common factor number is the GCF number.
So the greatest common factor 69,44,62,499 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 56/69, 35/44, 21/62, 64/499?
Answer: LCM of Numerators as per given numbers 56/69, 35/44, 21/62, 64/499 is
LCM of Numerators i.e. for 56,35,21,64 is 6720
GCF of denominators i.e. for 69,44,62,499 is 1.
Thus, LCM of Fractions is 6720.Finally, LCM of Fractions for 56/69, 35/44, 21/62, 64/499 is 6720.