Free LCM Calculator identify the least common multiple (LCM) between 3 and also 8 the smallest integer the is 24 the is divisible by both numbers.

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Least typical Multiple (LCM) that 3 and 8 is 24.

LCM(3,8) = 24


Least usual multiple can be found by multiplying the highest possible exponent prime determinants of 3 and 8. Very first we will calculate the prime determinants of 3 and 8.

Prime administer of 3

3 3
1

Prime determinants of 3 space 3. Prime factorization the 3 in exponential kind is:

3 = 31Prime administrate of 8

2 8
2 4
2 2
1

Prime components of 8 space 2. Prime factorization that 8 in exponential kind is:

8 = 23Now multiplying the highest possible exponent prime determinants to calculate the LCM that 3 and 8.

LCM(3,8) = 23×31LCM(3,8) = 24

Factors the 3

List of optimistic integer determinants of 3 the divides 3 there is no a remainder.

1, 3

Factors the 8

List of confident integer components of 8 that divides 8 there is no a remainder.

1, 2, 4, 8


Least typical Multiple of 3 and also 8 with GCF Formula


The formula that LCM is LCM(a,b) = ( a × b) / GCF(a,b).We must calculate greatest usual factor 3 and 8, than apply into the LCM equation.

GCF(3,8) = 1LCM(3,8) = ( 3 × 8) / 1LCM(3,8) = 24 / 1LCM(3,8) = 24


Properties of LCM 3 and 8


(i) The LCM of 8 and 3 is associative

LCM of 3 and also 8 = LCM that 8 and also 3


Related Least common Multiples the 3
Related Least common Multiples the 8

Frequently Asked questions on LCM of 3 and 8


1. What is the LCM of 3 and also 8?

Answer: LCM that 3 and also 8 is 24.

2. What room the determinants of 3?

Answer: components of 3 space 1, 3. There space 2 integers that are components of 3. The greatest aspect of 3 is 3.

3. What are the components of 8?

Answer: components of 8 are 1, 2, 4, 8. There space 4 integers the are components of 8. The greatest element of 8 is 8.

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4. How to uncover the LCM of 3 and also 8?

Answer:

Least usual Multiple the 3 and 8 = 24

Step 1: uncover the prime factorization that 3

3 = 3

Step 2: uncover the prime factorization of 8

8 = 2 x 2 x 2

Step 3: multiply each aspect the greater variety of times it occurs in measures i) or ii) above to find the lcm:

LCM = 24 = 2 x 2 x 2 x 3

Step 4: Therefore, the least common multiple that 3 and 8 is 24.


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