Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8967/560, 1931/665 quickly i.e. 17315277/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8967/560, 1931/665 is 17315277/35.
LCM(8967/560, 1931/665) = 17315277/35
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8967/560,1931/665
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 8967,1931
Least Common Multiple of Numerators i.e. LCM of 8967,1931 is 17315277.
GCF of Denominators means GCF of 560,665 as per the given fractions.
GCF of 560,665 is 35 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8967,1931
Given numbers has no common factors except 1. So, there LCM is their product i.e 17315277
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 8967,1931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8967,1931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8967,1931) x common factors =1 x 1 = 1
LCM(8967,1931) = ( 8967 × 1931 ) / 1
LCM(8967,1931) = 17315277 / 1
LCM(8967,1931) = 17315277
Lets's calculate GCF of 560,665
5 | 560, 665 |
7 | 112, 133 |
16, 19 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17315277/35
Therefore the LCM of Fractions 8967/560,1931/665 is 17315277/35
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 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 560,665 . The biggest common factor number is the GCF number.
So the greatest common factor 560,665 is 35.
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 8967/560, 1931/665?
Answer: LCM of Numerators as per given numbers 8967/560, 1931/665 is
LCM of Numerators i.e. for 8967,1931 is 17315277
GCF of denominators i.e. for 560,665 is 35.
Thus, LCM of Fractions is 17315277/35.Finally, LCM of Fractions for 8967/560, 1931/665 is 17315277/35.