LCM of 4 and 11

LCM of 4 and 11 is the smallest number among all common multiples of 4 and 11. The first few multiples of 4 and 11 are (4, 8, 12, 16, 20, 24, . . . ) and (11, 22, 33, 44, 55, . . . ) respectively. There are 3 commonly used methods to find LCM of 4 and 11 - by listing multiples, by prime factorization, and by division method.

Answer: LCM of 4 and 11 is 44.

Explanation:

The LCM of two non-zero integers, x(4) and y(11), is the smallest positive integer m(44) that is divisible by both x(4) and y(11) without any remainder.

The methods to find the LCM of 4 and 11 are explained below.

• By Division Method
• By Listing Multiples
• By Prime Factorization Method

LCM of 4 and 11 by Division Method

To calculate the LCM of 4 and 11 by the division method, we will divide the numbers(4, 11) by their prime factors (preferably common). The product of these divisors gives the LCM of 4 and 11.

• Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 4 and 11. Write this prime number(2) on the left of the given numbers(4 and 11), separated as per the ladder arrangement.
• Step 2: If any of the given numbers (4, 11) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.
• Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 4 and 11 is the product of all prime numbers on the left, i.e. LCM(4, 11) by division method = 2 × 2 × 11 = 44.

LCM of 4 and 11 by Listing Multiples

To calculate the LCM of 4 and 11 by listing out the common multiples, we can follow the given below steps:

• Step 1: List a few multiples of 4 (4, 8, 12, 16, 20, 24, . . . ) and 11 (11, 22, 33, 44, 55, . . . . )
• Step 2: The common multiples from the multiples of 4 and 11 are 44, 88, . . .
• Step 3: The smallest common multiple of 4 and 11 is 44.

∴ The least common multiple of 4 and 11 = 44.

LCM of 4 and 11 by Prime Factorization

Prime factorization of 4 and 11 is (2 × 2) = 2² and (11) = 11¹ respectively. LCM of 4 and 11 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2² × 11¹ = 44.
Hence, the LCM of 4 and 11 by prime factorization is 44.

☛ Also Check:

• LCM of 8 and 10 - 40
• LCM of 12 and 14 - 84
• LCM of 30 and 90 - 90
• LCM of 3, 6 and 7 - 42
• LCM of 6, 8 and 9 - 72
• LCM of 3, 6, 9 and 12 - 36
• LCM of 80 and 120 - 240

FAQs on LCM of 4 and 11

What is the LCM of 4 and 11?

The LCM of 4 and 11 is 44. To find the least common multiple (LCM) of 4 and 11, we need to find the multiples of 4 and 11 (multiples of 4 = 4, 8, 12, 16 . . . . 44; multiples of 11 = 11, 22, 33, 44) and choose the smallest multiple that is exactly divisible by 4 and 11, i.e., 44.

If the LCM of 11 and 4 is 44, Find its GCF.

LCM(11, 4) × GCF(11, 4) = 11 × 4
Since the LCM of 11 and 4 = 44
⇒ 44 × GCF(11, 4) = 44
Therefore, the greatest common factor = 44/44 = 1.

What are the Methods to Find LCM of 4 and 11?

The commonly used methods to find the LCM of 4 and 11 are:

• Prime Factorization Method
• Listing Multiples
• Division Method

Which of the following is the LCM of 4 and 11? 25, 24, 44, 2

The value of LCM of 4, 11 is the smallest common multiple of 4 and 11. The number satisfying the given condition is 44.

What is the Least Perfect Square Divisible by 4 and 11?

The least number divisible by 4 and 11 = LCM(4, 11)
LCM of 4 and 11 = 2 × 2 × 11 [Incomplete pair(s): 11]
⇒ Least perfect square divisible by each 4 and 11 = LCM(4, 11) × 11 = 484 [Square root of 484 = √484 = ±22]
Therefore, 484 is the required number.