Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/22, 429/6624 quickly i.e. 82797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/22, 429/6624 is 82797.
LCM(386/22, 429/6624) = 82797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/22,429/6624
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 386,429
Least Common Multiple of Numerators i.e. LCM of 386,429 is 165594.
GCF of Denominators means GCF of 22,6624 as per the given fractions.
GCF of 22,6624 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,429
Given numbers has no common factors except 1. So, there LCM is their product i.e 165594
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 386,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,429) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,429) x common factors =1 x 1 = 1
LCM(386,429) = ( 386 × 429 ) / 1
LCM(386,429) = 165594 / 1
LCM(386,429) = 165594
Lets's calculate GCF of 22,6624
2 | 22, 6624 |
11, 3312 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165594/2
Therefore the LCM of Fractions 386/22,429/6624 is 82797
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 6624
List of positive integer factors of 6624 that divides 6624 without a remainder.
1,2,3,4,6,8,9,12,16,18,23,24,32,36,46,48,69,72,92,96,138,144,184,207,276,288,368,414,552,736,828,1104,1656,2208,3312,6624
Greatest Common Factor
We found the factors 22,6624 . The biggest common factor number is the GCF number.
So the greatest common factor 22,6624 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 386/22, 429/6624?
Answer: LCM of Numerators as per given numbers 386/22, 429/6624 is
LCM of Numerators i.e. for 386,429 is 165594
GCF of denominators i.e. for 22,6624 is 2.
Thus, LCM of Fractions is 82797.Finally, LCM of Fractions for 386/22, 429/6624 is 82797.