Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 912/850, 6715/615 quickly i.e. 1224816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 912/850, 6715/615 is 1224816.
LCM(912/850, 6715/615) = 1224816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 912/850,6715/615
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 912,6715
Least Common Multiple of Numerators i.e. LCM of 912,6715 is 6124080.
GCF of Denominators means GCF of 850,615 as per the given fractions.
GCF of 850,615 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 912,6715
Given numbers has no common factors except 1. So, there LCM is their product i.e 6124080
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 912,6715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(912,6715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(912,6715) x common factors =1 x 1 = 1
LCM(912,6715) = ( 912 × 6715 ) / 1
LCM(912,6715) = 6124080 / 1
LCM(912,6715) = 6124080
Lets's calculate GCF of 850,615
5 | 850, 615 |
170, 123 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6124080/5
Therefore the LCM of Fractions 912/850,6715/615 is 1224816
Factors of 850
List of positive integer factors of 850 that divides 850 without a remainder.
1,2,5,10,17,25,34,50,85,170,425,850
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Greatest Common Factor
We found the factors 850,615 . The biggest common factor number is the GCF number.
So the greatest common factor 850,615 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 912/850, 6715/615?
Answer: LCM of Numerators as per given numbers 912/850, 6715/615 is
LCM of Numerators i.e. for 912,6715 is 6124080
GCF of denominators i.e. for 850,615 is 5.
Thus, LCM of Fractions is 1224816.Finally, LCM of Fractions for 912/850, 6715/615 is 1224816.