Least Common Multiple of 24/106, 98/736
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/106, 98/736 quickly i.e. 588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/106, 98/736 is 588.
LCM(24/106, 98/736) = 588
LCM of 24/106, 98/736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/106,98/736
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 24,98
Least Common Multiple of Numerators i.e. LCM of 24,98 is 1176.
GCF of Denominators means GCF of 106,736 as per the given fractions.
GCF of 106,736 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,98
LCM of Fractions 24/106,98/736 is 588
| 2 | 24, 98 |
| 12, 49 |
∴ So the LCM of the given numbers is 2 x 12 x 49 = 1176
Least Common Multiple of 24,98 with GCF Formula
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 24,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,98) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(24,98) x common factors =2 x 1 = 2
LCM(24,98) = ( 24 × 98 ) / 2
LCM(24,98) = 2352 / 2
LCM(24,98) = 1176
Lets's calculate GCF of 106,736
| 2 | 106, 736 |
| 53, 368 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1176/2
Therefore the LCM of Fractions 24/106,98/736 is 588