what is the lcm of 3 6 and 12

LCM of 3, 6, and 12

LCM of 3, 6, and 12 is the smallest number among all common multiples of 3, 6, and 12. The first few multiples of 3, 6, and 12 are (3, 6, 9, 12, 15 . . .), (6, 12, 18, 24, 30 . . .), and (12, 24, 36, 48, 60 . . .) respectively. There are 3 commonly victimized methods to find LCM of 3, 6, 12 - by listing multiples, by prime factorization, and aside division method.

1.	LCM of 3, 6, and 12
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is the LCM of 3, 6, and 12?

Answer: LCM of 3, 6, and 12 is 12.

Explanation:

The LCM of three non-null integers, a(3), b(6), and c(12), is the smallest positive integer m(12) that is divisible by a(3), b(6), and c(12) without whatever remainder.

Methods to Find Least common multiple of 3, 6, and 12

The methods to find the Least common multiple of 3, 6, and 12 are explained below.

• By Listing Multiples
• By Prime Factorisation Method
• Aside Division Method acting

LCM of 3, 6, and 12 aside Listing Multiples

To calculate the LCM of 3, 6, 12 past listing out the common multiples, we tin can follow the given below steps:

• Tread 1: List few multiples of 3 (3, 6, 9, 12, 15 . . .), 6 (6, 12, 18, 24, 30 . . .), and 12 (12, 24, 36, 48, 60 . . .).
• Step 2: The lowborn multiples from the multiples of 3, 6, and 12 are 12, 24, . . .
• Step 3: The smallest common multiple of 3, 6, and 12 is 12.

∴ The least common multiple of 3, 6, and 12 = 12.

LCM of 3, 6, and 12 by Peak Factoring

Prime factorization of 3, 6, and 12 is (3) = 3¹, (2 × 3) = 2¹ × 3¹, and (2 × 2 × 3) = 2² × 3¹ respectively. Least common multiple of 3, 6, and 12 can be obtained by multiplying prime factors lifted to their respective highest baron, i.e. 2² × 3¹ = 12.
Therefore, the Least common multiple of 3, 6, and 12 by prime factorization is 12.

Lowest common multiple of 3, 6, and 12 by Part Method

To depend the LCM of 3, 6, and 12 away the division method, we will divide the numbers racket(3, 6, 12) by their prime factors (rather common). The product of these divisors gives the LCM of 3, 6, and 12.

• Stride 1: Find the smallest prime figure that is a factor of at least 1 of the numbers, 3, 6, and 12. Write this flus number(2) on the left of the given Numbers(3, 6, and 12), separated arsenic per the ladder arrangement.
• Step 2: If any of the given numbers (3, 6, 12) is a multiple of 2, divide it by 2 and write the quotient below IT. Bestow pull down any number that is not partible by the choice number.
• Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 3, 6, and 12 is the cartesian product of completely choice numbers on the left-of-center, i.e. LCM(3, 6, 12) by division method = 2 × 2 × 3 = 12.

☛ Also Check:

• LCM of 16 and 40 - 80
• LCM of 24 and 26 - 312
• LCM of 16 and 22 - 176
• LCM of 5, 10, 15 and 20 - 60
• LCM of 125 and 175 - 875
• Least common multiple of 19 and 57 - 57
• LCM of 8 and 14 - 56

FAQs on LCM of 3, 6, and 12

What is the Lowest common multiple of 3, 6, and 12?

The LCM of 3, 6, and 12 is 12 . To receive the least common ninefold (LCM) of 3, 6, and 12, we need to find the multiples of 3, 6, and 12 (multiples of 3 = 3, 6, 9 . . . .; multiples of 6 = 6, 12, 18 . . . .; multiples of 12 = 12, 24, 36 . . . .) and choose the smallest multiple that is exactly dividable away 3, 6, and 12, i.e., 12.

What is the Relation Between GCF and LCM of 3, 6, 12?

The following equation can be exploited to express the sexual intercourse between GCF and LCM of 3, 6, 12, i.e. LCM(3, 6, 12) = [(3 × 6 × 12) × GCF(3, 6, 12)]/[GCF(3, 6) × GCF(6, 12) × GCF(3, 12)].

What is the Least Perfect Square Divisible by 3, 6, and 12?

The to the lowest degree turn divisible away 3, 6, and 12 = Lowest common multiple(3, 6, 12)
LCM of 3, 6, and 12 = 2 × 2 × 3 [Incomplete yoke(s): 3]
⇒ To the lowest degree perfect square divisible away all 3, 6, and 12 = LCM(3, 6, 12) × 3 = 36 [Square root of 36 = √36 = ±6]
Thence, 36 is the required numerate.

Which of the following is the LCM of 3, 6, and 12? 12, 27, 96, 42

The evaluate of LCM of 3, 6, 12 is the smallest common multiple of 3, 6, and 12. The telephone number satisfying the given condition is 12.

what is the lcm of 3 6 and 12

Source: https://www.cuemath.com/numbers/lcm-of-3-6-and-12/#:~:text=Answer%3A%20LCM%20of%203%2C%206%2C%20and%2012%20is%2012.

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