Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/59, 80/32, 24/22, 63/606 quickly i.e. 55440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/59, 80/32, 24/22, 63/606 is 55440.
LCM(22/59, 80/32, 24/22, 63/606) = 55440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/59,80/32,24/22,63/606
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 22,80,24,63
Least Common Multiple of Numerators i.e. LCM of 22,80,24,63 is 55440.
GCF of Denominators means GCF of 59,32,22,606 as per the given fractions.
GCF of 59,32,22,606 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,80,24,63
2 | 22, 80, 24, 63 |
2 | 11, 40, 12, 63 |
2 | 11, 20, 6, 63 |
3 | 11, 10, 3, 63 |
11, 10, 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 10 x 1 x 21 = 55440
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 22,80,24,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,80,24,63) = 1
common factors(in case of two or more numbers have common factors) = 48
GCF(22,80,24,63) x common factors =1 x 48 = 48
LCM(22,80,24,63) = ( 22 × 80 × 24 × 63 ) / 48
LCM(22,80,24,63) = 2661120 / 48
LCM(22,80,24,63) = 55440
Lets's calculate GCF of 59,32,22,606
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55440/1
Therefore the LCM of Fractions 22/59,80/32,24/22,63/606 is 55440
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 59,32,22,606 . The biggest common factor number is the GCF number.
So the greatest common factor 59,32,22,606 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 22/59, 80/32, 24/22, 63/606?
Answer: LCM of Numerators as per given numbers 22/59, 80/32, 24/22, 63/606 is
LCM of Numerators i.e. for 22,80,24,63 is 55440
GCF of denominators i.e. for 59,32,22,606 is 1.
Thus, LCM of Fractions is 55440.Finally, LCM of Fractions for 22/59, 80/32, 24/22, 63/606 is 55440.