Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6221/560, 7712/300 quickly i.e. 47976352/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6221/560, 7712/300 is 47976352/20.
LCM(6221/560, 7712/300) = 47976352/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6221/560,7712/300
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 6221,7712
Least Common Multiple of Numerators i.e. LCM of 6221,7712 is 47976352.
GCF of Denominators means GCF of 560,300 as per the given fractions.
GCF of 560,300 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6221,7712
Given numbers has no common factors except 1. So, there LCM is their product i.e 47976352
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 6221,7712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6221,7712) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6221,7712) x common factors =1 x 1 = 1
LCM(6221,7712) = ( 6221 × 7712 ) / 1
LCM(6221,7712) = 47976352 / 1
LCM(6221,7712) = 47976352
Lets's calculate GCF of 560,300
2 | 560, 300 |
2 | 280, 150 |
5 | 140, 75 |
28, 15 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47976352/20
Therefore the LCM of Fractions 6221/560,7712/300 is 47976352/20
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 560,300 . The biggest common factor number is the GCF number.
So the greatest common factor 560,300 is 20.
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 6221/560, 7712/300?
Answer: LCM of Numerators as per given numbers 6221/560, 7712/300 is
LCM of Numerators i.e. for 6221,7712 is 47976352
GCF of denominators i.e. for 560,300 is 20.
Thus, LCM of Fractions is 47976352/20.Finally, LCM of Fractions for 6221/560, 7712/300 is 47976352/20.