Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 58/188, 29/344, 707/372 quickly i.e. 41006/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 58/188, 29/344, 707/372 is 41006/4.
LCM(58/188, 29/344, 707/372) = 41006/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 58/188,29/344,707/372
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 58,29,707
Least Common Multiple of Numerators i.e. LCM of 58,29,707 is 41006.
GCF of Denominators means GCF of 188,344,372 as per the given fractions.
GCF of 188,344,372 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 58,29,707
29 | 58, 29, 707 |
2, 1, 707 |
∴ So the LCM of the given numbers is 29 x 2 x 1 x 707 = 41006
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 58,29,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,29,707) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(58,29,707) x common factors =1 x 29 = 29
LCM(58,29,707) = ( 58 × 29 × 707 ) / 29
LCM(58,29,707) = 1189174 / 29
LCM(58,29,707) = 41006
Lets's calculate GCF of 188,344,372
2 | 188, 344, 372 |
2 | 94, 172, 186 |
47, 86, 93 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41006/4
Therefore the LCM of Fractions 58/188,29/344,707/372 is 41006/4
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Greatest Common Factor
We found the factors 188,344,372 . The biggest common factor number is the GCF number.
So the greatest common factor 188,344,372 is 4.
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 58/188, 29/344, 707/372?
Answer: LCM of Numerators as per given numbers 58/188, 29/344, 707/372 is
LCM of Numerators i.e. for 58,29,707 is 41006
GCF of denominators i.e. for 188,344,372 is 4.
Thus, LCM of Fractions is 41006/4.Finally, LCM of Fractions for 58/188, 29/344, 707/372 is 41006/4.