Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 805/35, 162/12, 647/372 quickly i.e. 84375270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 805/35, 162/12, 647/372 is 84375270.
LCM(805/35, 162/12, 647/372) = 84375270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 805/35,162/12,647/372
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 805,162,647
Least Common Multiple of Numerators i.e. LCM of 805,162,647 is 84375270.
GCF of Denominators means GCF of 35,12,372 as per the given fractions.
GCF of 35,12,372 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 805,162,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 84375270
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 805,162,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,162,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,162,647) x common factors =1 x 1 = 1
LCM(805,162,647) = ( 805 × 162 × 647 ) / 1
LCM(805,162,647) = 84375270 / 1
LCM(805,162,647) = 84375270
Lets's calculate GCF of 35,12,372
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84375270/1
Therefore the LCM of Fractions 805/35,162/12,647/372 is 84375270
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 35,12,372 . The biggest common factor number is the GCF number.
So the greatest common factor 35,12,372 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 805/35, 162/12, 647/372?
Answer: LCM of Numerators as per given numbers 805/35, 162/12, 647/372 is
LCM of Numerators i.e. for 805,162,647 is 84375270
GCF of denominators i.e. for 35,12,372 is 1.
Thus, LCM of Fractions is 84375270.Finally, LCM of Fractions for 805/35, 162/12, 647/372 is 84375270.