Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 61/104, 703/446, 176/720 quickly i.e. 3773704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 61/104, 703/446, 176/720 is 3773704.
LCM(61/104, 703/446, 176/720) = 3773704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 61/104,703/446,176/720
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 61,703,176
Least Common Multiple of Numerators i.e. LCM of 61,703,176 is 7547408.
GCF of Denominators means GCF of 104,446,720 as per the given fractions.
GCF of 104,446,720 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 61,703,176
Given numbers has no common factors except 1. So, there LCM is their product i.e 7547408
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 61,703,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,703,176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,703,176) x common factors =1 x 1 = 1
LCM(61,703,176) = ( 61 × 703 × 176 ) / 1
LCM(61,703,176) = 7547408 / 1
LCM(61,703,176) = 7547408
Lets's calculate GCF of 104,446,720
2 | 104, 446, 720 |
52, 223, 360 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7547408/2
Therefore the LCM of Fractions 61/104,703/446,176/720 is 3773704
Factors of 104
List of positive integer factors of 104 that divides 104 without a remainder.
1,2,4,8,13,26,52,104
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 104,446,720 . The biggest common factor number is the GCF number.
So the greatest common factor 104,446,720 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 61/104, 703/446, 176/720?
Answer: LCM of Numerators as per given numbers 61/104, 703/446, 176/720 is
LCM of Numerators i.e. for 61,703,176 is 7547408
GCF of denominators i.e. for 104,446,720 is 2.
Thus, LCM of Fractions is 3773704.Finally, LCM of Fractions for 61/104, 703/446, 176/720 is 3773704.