Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/300, 385/862, 467/222 quickly i.e. 3056515/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/300, 385/862, 467/222 is 3056515/2.
LCM(17/300, 385/862, 467/222) = 3056515/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/300,385/862,467/222
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 17,385,467
Least Common Multiple of Numerators i.e. LCM of 17,385,467 is 3056515.
GCF of Denominators means GCF of 300,862,222 as per the given fractions.
GCF of 300,862,222 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,385,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 3056515
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 17,385,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,385,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,385,467) x common factors =1 x 1 = 1
LCM(17,385,467) = ( 17 × 385 × 467 ) / 1
LCM(17,385,467) = 3056515 / 1
LCM(17,385,467) = 3056515
Lets's calculate GCF of 300,862,222
2 | 300, 862, 222 |
150, 431, 111 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3056515/2
Therefore the LCM of Fractions 17/300,385/862,467/222 is 3056515/2
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
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 300,862,222 . The biggest common factor number is the GCF number.
So the greatest common factor 300,862,222 is 2.
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 17/300, 385/862, 467/222?
Answer: LCM of Numerators as per given numbers 17/300, 385/862, 467/222 is
LCM of Numerators i.e. for 17,385,467 is 3056515
GCF of denominators i.e. for 300,862,222 is 2.
Thus, LCM of Fractions is 3056515/2.Finally, LCM of Fractions for 17/300, 385/862, 467/222 is 3056515/2.