Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/24, 720/57, 248/635 quickly i.e. 245520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/24, 720/57, 248/635 is 245520.
LCM(22/24, 720/57, 248/635) = 245520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/24,720/57,248/635
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 22,720,248
Least Common Multiple of Numerators i.e. LCM of 22,720,248 is 245520.
GCF of Denominators means GCF of 24,57,635 as per the given fractions.
GCF of 24,57,635 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,720,248
2 | 22, 720, 248 |
2 | 11, 360, 124 |
2 | 11, 180, 62 |
11, 90, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 90 x 31 = 245520
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 22,720,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,720,248) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(22,720,248) x common factors =2 x 8 = 16
LCM(22,720,248) = ( 22 × 720 × 248 ) / 16
LCM(22,720,248) = 3928320 / 16
LCM(22,720,248) = 245520
Lets's calculate GCF of 24,57,635
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245520/1
Therefore the LCM of Fractions 22/24,720/57,248/635 is 245520
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Greatest Common Factor
We found the factors 24,57,635 . The biggest common factor number is the GCF number.
So the greatest common factor 24,57,635 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 22/24, 720/57, 248/635?
Answer: LCM of Numerators as per given numbers 22/24, 720/57, 248/635 is
LCM of Numerators i.e. for 22,720,248 is 245520
GCF of denominators i.e. for 24,57,635 is 1.
Thus, LCM of Fractions is 245520.Finally, LCM of Fractions for 22/24, 720/57, 248/635 is 245520.