Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/252, 32/790, 680/153 quickly i.e. 24480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/252, 32/790, 680/153 is 24480.
LCM(18/252, 32/790, 680/153) = 24480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/252,32/790,680/153
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 18,32,680
Least Common Multiple of Numerators i.e. LCM of 18,32,680 is 24480.
GCF of Denominators means GCF of 252,790,153 as per the given fractions.
GCF of 252,790,153 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,32,680
2 | 18, 32, 680 |
2 | 9, 16, 340 |
2 | 9, 8, 170 |
9, 4, 85 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 9 x 4 x 85 = 24480
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 18,32,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,32,680) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(18,32,680) x common factors =2 x 8 = 16
LCM(18,32,680) = ( 18 × 32 × 680 ) / 16
LCM(18,32,680) = 391680 / 16
LCM(18,32,680) = 24480
Lets's calculate GCF of 252,790,153
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24480/1
Therefore the LCM of Fractions 18/252,32/790,680/153 is 24480
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 252,790,153 . The biggest common factor number is the GCF number.
So the greatest common factor 252,790,153 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 18/252, 32/790, 680/153?
Answer: LCM of Numerators as per given numbers 18/252, 32/790, 680/153 is
LCM of Numerators i.e. for 18,32,680 is 24480
GCF of denominators i.e. for 252,790,153 is 1.
Thus, LCM of Fractions is 24480.Finally, LCM of Fractions for 18/252, 32/790, 680/153 is 24480.