Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/942, 17/582, 752/126 quickly i.e. 370736/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/942, 17/582, 752/126 is 370736/6.
LCM(29/942, 17/582, 752/126) = 370736/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/942,17/582,752/126
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 29,17,752
Least Common Multiple of Numerators i.e. LCM of 29,17,752 is 370736.
GCF of Denominators means GCF of 942,582,126 as per the given fractions.
GCF of 942,582,126 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,17,752
Given numbers has no common factors except 1. So, there LCM is their product i.e 370736
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 29,17,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,17,752) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,17,752) x common factors =1 x 1 = 1
LCM(29,17,752) = ( 29 × 17 × 752 ) / 1
LCM(29,17,752) = 370736 / 1
LCM(29,17,752) = 370736
Lets's calculate GCF of 942,582,126
2 | 942, 582, 126 |
3 | 471, 291, 63 |
157, 97, 21 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 370736/6
Therefore the LCM of Fractions 29/942,17/582,752/126 is 370736/6
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 582
List of positive integer factors of 582 that divides 582 without a remainder.
1,2,3,6,97,194,291,582
Factors of 126
List of positive integer factors of 126 that divides 126 without a remainder.
1,2,3,6,7,9,14,18,21,42,63,126
Greatest Common Factor
We found the factors 942,582,126 . The biggest common factor number is the GCF number.
So the greatest common factor 942,582,126 is 6.
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 29/942, 17/582, 752/126?
Answer: LCM of Numerators as per given numbers 29/942, 17/582, 752/126 is
LCM of Numerators i.e. for 29,17,752 is 370736
GCF of denominators i.e. for 942,582,126 is 6.
Thus, LCM of Fractions is 370736/6.Finally, LCM of Fractions for 29/942, 17/582, 752/126 is 370736/6.