Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7969/155, 6704/560 quickly i.e. 53424176/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7969/155, 6704/560 is 53424176/5.
LCM(7969/155, 6704/560) = 53424176/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7969/155,6704/560
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 7969,6704
Least Common Multiple of Numerators i.e. LCM of 7969,6704 is 53424176.
GCF of Denominators means GCF of 155,560 as per the given fractions.
GCF of 155,560 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7969,6704
Given numbers has no common factors except 1. So, there LCM is their product i.e 53424176
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 7969,6704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7969,6704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7969,6704) x common factors =1 x 1 = 1
LCM(7969,6704) = ( 7969 × 6704 ) / 1
LCM(7969,6704) = 53424176 / 1
LCM(7969,6704) = 53424176
Lets's calculate GCF of 155,560
5 | 155, 560 |
31, 112 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53424176/5
Therefore the LCM of Fractions 7969/155,6704/560 is 53424176/5
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
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
Greatest Common Factor
We found the factors 155,560 . The biggest common factor number is the GCF number.
So the greatest common factor 155,560 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 7969/155, 6704/560?
Answer: LCM of Numerators as per given numbers 7969/155, 6704/560 is
LCM of Numerators i.e. for 7969,6704 is 53424176
GCF of denominators i.e. for 155,560 is 5.
Thus, LCM of Fractions is 53424176/5.Finally, LCM of Fractions for 7969/155, 6704/560 is 53424176/5.