Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/18, 168/8053 quickly i.e. 72408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/18, 168/8053 is 72408.
LCM(862/18, 168/8053) = 72408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/18,168/8053
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 862,168
Least Common Multiple of Numerators i.e. LCM of 862,168 is 72408.
GCF of Denominators means GCF of 18,8053 as per the given fractions.
GCF of 18,8053 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,168
2 | 862, 168 |
431, 84 |
∴ So the LCM of the given numbers is 2 x 431 x 84 = 72408
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 862,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(862,168) x common factors =2 x 1 = 2
LCM(862,168) = ( 862 × 168 ) / 2
LCM(862,168) = 144816 / 2
LCM(862,168) = 72408
Lets's calculate GCF of 18,8053
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72408/1
Therefore the LCM of Fractions 862/18,168/8053 is 72408
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 8053
List of positive integer factors of 8053 that divides 8053 without a remainder.
1,8053
Greatest Common Factor
We found the factors 18,8053 . The biggest common factor number is the GCF number.
So the greatest common factor 18,8053 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 862/18, 168/8053?
Answer: LCM of Numerators as per given numbers 862/18, 168/8053 is
LCM of Numerators i.e. for 862,168 is 72408
GCF of denominators i.e. for 18,8053 is 1.
Thus, LCM of Fractions is 72408.Finally, LCM of Fractions for 862/18, 168/8053 is 72408.