Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 117/280, 9372/366 quickly i.e. 182754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 117/280, 9372/366 is 182754.
LCM(117/280, 9372/366) = 182754
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 117/280,9372/366
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 117,9372
Least Common Multiple of Numerators i.e. LCM of 117,9372 is 365508.
GCF of Denominators means GCF of 280,366 as per the given fractions.
GCF of 280,366 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 117,9372
3 | 117, 9372 |
39, 3124 |
∴ So the LCM of the given numbers is 3 x 39 x 3124 = 365508
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 117,9372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,9372) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(117,9372) x common factors =3 x 1 = 3
LCM(117,9372) = ( 117 × 9372 ) / 3
LCM(117,9372) = 1096524 / 3
LCM(117,9372) = 365508
Lets's calculate GCF of 280,366
2 | 280, 366 |
140, 183 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 365508/2
Therefore the LCM of Fractions 117/280,9372/366 is 182754
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Greatest Common Factor
We found the factors 280,366 . The biggest common factor number is the GCF number.
So the greatest common factor 280,366 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 117/280, 9372/366?
Answer: LCM of Numerators as per given numbers 117/280, 9372/366 is
LCM of Numerators i.e. for 117,9372 is 365508
GCF of denominators i.e. for 280,366 is 2.
Thus, LCM of Fractions is 182754.Finally, LCM of Fractions for 117/280, 9372/366 is 182754.