Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/32, 92/54, 24/82, 18/630 quickly i.e. 828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/32, 92/54, 24/82, 18/630 is 828.
LCM(72/32, 92/54, 24/82, 18/630) = 828
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/32,92/54,24/82,18/630
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 72,92,24,18
Least Common Multiple of Numerators i.e. LCM of 72,92,24,18 is 1656.
GCF of Denominators means GCF of 32,54,82,630 as per the given fractions.
GCF of 32,54,82,630 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,92,24,18
2 | 72, 92, 24, 18 |
2 | 36, 46, 12, 9 |
2 | 18, 23, 6, 9 |
3 | 9, 23, 3, 9 |
3 | 1, 23, 3, 3 |
1, 23, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 23 x 1 x 1 = 1656
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 72,92,24,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,92,24,18) = 2
common factors(in case of two or more numbers have common factors) = 864
GCF(72,92,24,18) x common factors =2 x 864 = 1728
LCM(72,92,24,18) = ( 72 × 92 × 24 × 18 ) / 1728
LCM(72,92,24,18) = 2861568 / 1728
LCM(72,92,24,18) = 1656
Lets's calculate GCF of 32,54,82,630
2 | 32, 54, 82, 630 |
16, 27, 41, 315 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1656/2
Therefore the LCM of Fractions 72/32,92/54,24/82,18/630 is 828
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 32,54,82,630 . The biggest common factor number is the GCF number.
So the greatest common factor 32,54,82,630 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 72/32, 92/54, 24/82, 18/630?
Answer: LCM of Numerators as per given numbers 72/32, 92/54, 24/82, 18/630 is
LCM of Numerators i.e. for 72,92,24,18 is 1656
GCF of denominators i.e. for 32,54,82,630 is 2.
Thus, LCM of Fractions is 828.Finally, LCM of Fractions for 72/32, 92/54, 24/82, 18/630 is 828.