Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/34, 72/86, 80/88, 52/638 quickly i.e. 4680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/34, 72/86, 80/88, 52/638 is 4680.
LCM(72/34, 72/86, 80/88, 52/638) = 4680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/34,72/86,80/88,52/638
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 72,72,80,52
Least Common Multiple of Numerators i.e. LCM of 72,72,80,52 is 9360.
GCF of Denominators means GCF of 34,86,88,638 as per the given fractions.
GCF of 34,86,88,638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,72,80,52
2 | 72, 72, 80, 52 |
2 | 36, 36, 40, 26 |
2 | 18, 18, 20, 13 |
3 | 9, 9, 10, 13 |
3 | 3, 3, 10, 13 |
1, 1, 10, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 10 x 13 = 9360
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 72,72,80,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,72,80,52) = 4
common factors(in case of two or more numbers have common factors) = 576
GCF(72,72,80,52) x common factors =4 x 576 = 2304
LCM(72,72,80,52) = ( 72 × 72 × 80 × 52 ) / 2304
LCM(72,72,80,52) = 21565440 / 2304
LCM(72,72,80,52) = 9360
Lets's calculate GCF of 34,86,88,638
2 | 34, 86, 88, 638 |
17, 43, 44, 319 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9360/2
Therefore the LCM of Fractions 72/34,72/86,80/88,52/638 is 4680
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 34,86,88,638 . The biggest common factor number is the GCF number.
So the greatest common factor 34,86,88,638 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 72/34, 72/86, 80/88, 52/638?
Answer: LCM of Numerators as per given numbers 72/34, 72/86, 80/88, 52/638 is
LCM of Numerators i.e. for 72,72,80,52 is 9360
GCF of denominators i.e. for 34,86,88,638 is 2.
Thus, LCM of Fractions is 4680.Finally, LCM of Fractions for 72/34, 72/86, 80/88, 52/638 is 4680.