Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 126/552, 9854/885 quickly i.e. 206934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 126/552, 9854/885 is 206934.
LCM(126/552, 9854/885) = 206934
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 126/552,9854/885
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 126,9854
Least Common Multiple of Numerators i.e. LCM of 126,9854 is 620802.
GCF of Denominators means GCF of 552,885 as per the given fractions.
GCF of 552,885 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 126,9854
2 | 126, 9854 |
63, 4927 |
∴ So the LCM of the given numbers is 2 x 63 x 4927 = 620802
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 126,9854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,9854) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(126,9854) x common factors =2 x 1 = 2
LCM(126,9854) = ( 126 × 9854 ) / 2
LCM(126,9854) = 1241604 / 2
LCM(126,9854) = 620802
Lets's calculate GCF of 552,885
3 | 552, 885 |
184, 295 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 620802/3
Therefore the LCM of Fractions 126/552,9854/885 is 206934
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Greatest Common Factor
We found the factors 552,885 . The biggest common factor number is the GCF number.
So the greatest common factor 552,885 is 3.
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 126/552, 9854/885?
Answer: LCM of Numerators as per given numbers 126/552, 9854/885 is
LCM of Numerators i.e. for 126,9854 is 620802
GCF of denominators i.e. for 552,885 is 3.
Thus, LCM of Fractions is 206934.Finally, LCM of Fractions for 126/552, 9854/885 is 206934.