Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 318/653, 802/792, 852/570 quickly i.e. 18107556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 318/653, 802/792, 852/570 is 18107556.
LCM(318/653, 802/792, 852/570) = 18107556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 318/653,802/792,852/570
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 318,802,852
Least Common Multiple of Numerators i.e. LCM of 318,802,852 is 18107556.
GCF of Denominators means GCF of 653,792,570 as per the given fractions.
GCF of 653,792,570 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 318,802,852
2 | 318, 802, 852 |
3 | 159, 401, 426 |
53, 401, 142 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 401 x 142 = 18107556
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 318,802,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,802,852) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(318,802,852) x common factors =2 x 6 = 12
LCM(318,802,852) = ( 318 × 802 × 852 ) / 12
LCM(318,802,852) = 217290672 / 12
LCM(318,802,852) = 18107556
Lets's calculate GCF of 653,792,570
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18107556/1
Therefore the LCM of Fractions 318/653,802/792,852/570 is 18107556
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Greatest Common Factor
We found the factors 653,792,570 . The biggest common factor number is the GCF number.
So the greatest common factor 653,792,570 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 318/653, 802/792, 852/570?
Answer: LCM of Numerators as per given numbers 318/653, 802/792, 852/570 is
LCM of Numerators i.e. for 318,802,852 is 18107556
GCF of denominators i.e. for 653,792,570 is 1.
Thus, LCM of Fractions is 18107556.Finally, LCM of Fractions for 318/653, 802/792, 852/570 is 18107556.