Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/124, 68/431, 707/704 quickly i.e. 528836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/124, 68/431, 707/704 is 528836.
LCM(22/124, 68/431, 707/704) = 528836
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/124,68/431,707/704
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 22,68,707
Least Common Multiple of Numerators i.e. LCM of 22,68,707 is 528836.
GCF of Denominators means GCF of 124,431,704 as per the given fractions.
GCF of 124,431,704 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,68,707
2 | 22, 68, 707 |
11, 34, 707 |
∴ So the LCM of the given numbers is 2 x 11 x 34 x 707 = 528836
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 22,68,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,68,707) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,68,707) x common factors =1 x 2 = 2
LCM(22,68,707) = ( 22 × 68 × 707 ) / 2
LCM(22,68,707) = 1057672 / 2
LCM(22,68,707) = 528836
Lets's calculate GCF of 124,431,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528836/1
Therefore the LCM of Fractions 22/124,68/431,707/704 is 528836
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 124,431,704 . The biggest common factor number is the GCF number.
So the greatest common factor 124,431,704 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 22/124, 68/431, 707/704?
Answer: LCM of Numerators as per given numbers 22/124, 68/431, 707/704 is
LCM of Numerators i.e. for 22,68,707 is 528836
GCF of denominators i.e. for 124,431,704 is 1.
Thus, LCM of Fractions is 528836.Finally, LCM of Fractions for 22/124, 68/431, 707/704 is 528836.