Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/207, 2953/432 quickly i.e. 1086704/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/207, 2953/432 is 1086704/9.
LCM(368/207, 2953/432) = 1086704/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/207,2953/432
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 368,2953
Least Common Multiple of Numerators i.e. LCM of 368,2953 is 1086704.
GCF of Denominators means GCF of 207,432 as per the given fractions.
GCF of 207,432 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,2953
Given numbers has no common factors except 1. So, there LCM is their product i.e 1086704
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 368,2953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,2953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,2953) x common factors =1 x 1 = 1
LCM(368,2953) = ( 368 × 2953 ) / 1
LCM(368,2953) = 1086704 / 1
LCM(368,2953) = 1086704
Lets's calculate GCF of 207,432
3 | 207, 432 |
3 | 69, 144 |
23, 48 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1086704/9
Therefore the LCM of Fractions 368/207,2953/432 is 1086704/9
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 207,432 . The biggest common factor number is the GCF number.
So the greatest common factor 207,432 is 9.
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 368/207, 2953/432?
Answer: LCM of Numerators as per given numbers 368/207, 2953/432 is
LCM of Numerators i.e. for 368,2953 is 1086704
GCF of denominators i.e. for 207,432 is 9.
Thus, LCM of Fractions is 1086704/9.Finally, LCM of Fractions for 368/207, 2953/432 is 1086704/9.