Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 852/544, 1186/9438 quickly i.e. 252618 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 852/544, 1186/9438 is 252618.
LCM(852/544, 1186/9438) = 252618
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 852/544,1186/9438
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 852,1186
Least Common Multiple of Numerators i.e. LCM of 852,1186 is 505236.
GCF of Denominators means GCF of 544,9438 as per the given fractions.
GCF of 544,9438 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 852,1186
2 | 852, 1186 |
426, 593 |
∴ So the LCM of the given numbers is 2 x 426 x 593 = 505236
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 852,1186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,1186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(852,1186) x common factors =2 x 1 = 2
LCM(852,1186) = ( 852 × 1186 ) / 2
LCM(852,1186) = 1010472 / 2
LCM(852,1186) = 505236
Lets's calculate GCF of 544,9438
2 | 544, 9438 |
272, 4719 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 505236/2
Therefore the LCM of Fractions 852/544,1186/9438 is 252618
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Factors of 9438
List of positive integer factors of 9438 that divides 9438 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438
Greatest Common Factor
We found the factors 544,9438 . The biggest common factor number is the GCF number.
So the greatest common factor 544,9438 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 852/544, 1186/9438?
Answer: LCM of Numerators as per given numbers 852/544, 1186/9438 is
LCM of Numerators i.e. for 852,1186 is 505236
GCF of denominators i.e. for 544,9438 is 2.
Thus, LCM of Fractions is 252618.Finally, LCM of Fractions for 852/544, 1186/9438 is 252618.