Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 369/473, 9352/2196 quickly i.e. 3450888 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 369/473, 9352/2196 is 3450888.
LCM(369/473, 9352/2196) = 3450888
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 369/473,9352/2196
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 369,9352
Least Common Multiple of Numerators i.e. LCM of 369,9352 is 3450888.
GCF of Denominators means GCF of 473,2196 as per the given fractions.
GCF of 473,2196 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 369,9352
Given numbers has no common factors except 1. So, there LCM is their product i.e 3450888
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 369,9352 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(369,9352) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(369,9352) x common factors =1 x 1 = 1
LCM(369,9352) = ( 369 × 9352 ) / 1
LCM(369,9352) = 3450888 / 1
LCM(369,9352) = 3450888
Lets's calculate GCF of 473,2196
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3450888/1
Therefore the LCM of Fractions 369/473,9352/2196 is 3450888
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 2196
List of positive integer factors of 2196 that divides 2196 without a remainder.
1,2,3,4,6,9,12,18,36,61,122,183,244,366,549,732,1098,2196
Greatest Common Factor
We found the factors 473,2196 . The biggest common factor number is the GCF number.
So the greatest common factor 473,2196 is 1.
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 369/473, 9352/2196?
Answer: LCM of Numerators as per given numbers 369/473, 9352/2196 is
LCM of Numerators i.e. for 369,9352 is 3450888
GCF of denominators i.e. for 473,2196 is 1.
Thus, LCM of Fractions is 3450888.Finally, LCM of Fractions for 369/473, 9352/2196 is 3450888.