Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 170/53, 912/79, 729/675 quickly i.e. 18837360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 170/53, 912/79, 729/675 is 18837360.
LCM(170/53, 912/79, 729/675) = 18837360
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 170/53,912/79,729/675
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 170,912,729
Least Common Multiple of Numerators i.e. LCM of 170,912,729 is 18837360.
GCF of Denominators means GCF of 53,79,675 as per the given fractions.
GCF of 53,79,675 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 170,912,729
2 | 170, 912, 729 |
3 | 85, 456, 729 |
85, 152, 243 |
∴ So the LCM of the given numbers is 2 x 3 x 85 x 152 x 243 = 18837360
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 170,912,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,912,729) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(170,912,729) x common factors =1 x 6 = 6
LCM(170,912,729) = ( 170 × 912 × 729 ) / 6
LCM(170,912,729) = 113024160 / 6
LCM(170,912,729) = 18837360
Lets's calculate GCF of 53,79,675
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18837360/1
Therefore the LCM of Fractions 170/53,912/79,729/675 is 18837360
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 675
List of positive integer factors of 675 that divides 675 without a remainder.
1,3,5,9,15,25,27,45,75,135,225,675
Greatest Common Factor
We found the factors 53,79,675 . The biggest common factor number is the GCF number.
So the greatest common factor 53,79,675 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 170/53, 912/79, 729/675?
Answer: LCM of Numerators as per given numbers 170/53, 912/79, 729/675 is
LCM of Numerators i.e. for 170,912,729 is 18837360
GCF of denominators i.e. for 53,79,675 is 1.
Thus, LCM of Fractions is 18837360.Finally, LCM of Fractions for 170/53, 912/79, 729/675 is 18837360.