Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/126, 5612/3998 quickly i.e. 2806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/126, 5612/3998 is 2806.
LCM(92/126, 5612/3998) = 2806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/126,5612/3998
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 92,5612
Least Common Multiple of Numerators i.e. LCM of 92,5612 is 5612.
GCF of Denominators means GCF of 126,3998 as per the given fractions.
GCF of 126,3998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,5612
2 | 92, 5612 |
2 | 46, 2806 |
23 | 23, 1403 |
1, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 1 x 61 = 5612
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 92,5612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,5612) = 92
common factors(in case of two or more numbers have common factors) = 1
GCF(92,5612) x common factors =92 x 1 = 92
LCM(92,5612) = ( 92 × 5612 ) / 92
LCM(92,5612) = 516304 / 92
LCM(92,5612) = 5612
Lets's calculate GCF of 126,3998
2 | 126, 3998 |
63, 1999 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5612/2
Therefore the LCM of Fractions 92/126,5612/3998 is 2806
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
Factors of 3998
List of positive integer factors of 3998 that divides 3998 without a remainder.
1,2,1999,3998
Greatest Common Factor
We found the factors 126,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 126,3998 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 92/126, 5612/3998?
Answer: LCM of Numerators as per given numbers 92/126, 5612/3998 is
LCM of Numerators i.e. for 92,5612 is 5612
GCF of denominators i.e. for 126,3998 is 2.
Thus, LCM of Fractions is 2806.Finally, LCM of Fractions for 92/126, 5612/3998 is 2806.