Lcm Of 16 And 4

LCM of 4 and 16

LCM of 4 and 16 is the smallest number among all common multiples of iv and 16. The first few multiples of four and sixteen are (4, 8, 12, 16, 20, 24, 28, . . . ) and (xvi, 32, 48, 64, 80, 96, . . . ) respectively. There are three unremarkably used methods to find LCM of four and sixteen - by listing multiples, by sectionalization method, and by prime factorization.

1.	LCM of 4 and 16
two.	List of Methods
iii.	Solved Examples
four.	FAQs

What is the LCM of 4 and 16?

Answer: LCM of iv and xvi is xvi.

LCM of 4 and 16

Explanation:

The LCM of two not-zip integers, ten(4) and y(16), is the smallest positive integer m(16) that is divisible by both x(4) and y(16) without any rest.

Methods to Find LCM of four and 16

Allow's look at the different methods for finding the LCM of four and 16.

By Listing Multiples
Past Prime Factorization Method
By Division Method

LCM of four and 16 by Listing Multiples

LCM of 4 and 16 by Listing Multiples Method

To calculate the LCM of 4 and xvi past listing out the common multiples, we can follow the given beneath steps:

Footstep one: List a few multiples of four (4, 8, 12, 16, 20, 24, 28, . . . ) and 16 (sixteen, 32, 48, 64, fourscore, 96, . . . . )
Stride 2: The mutual multiples from the multiples of 4 and 16 are xvi, 32, . . .
Stride 3: The smallest common multiple of 4 and 16 is xvi.

∴ The to the lowest degree mutual multiple of 4 and 16 = sixteen.

LCM of four and 16 by Prime Factorization

Prime number factorization of 4 and 16 is (two × 2) = 2^two and (2 × 2 × 2 × 2) = 2^iv respectively. LCM of four and 16 tin can be obtained by multiplying prime number factors raised to their respective highest power, i.e. ii⁴ = 16.
Hence, the LCM of 4 and 16 by prime factorization is sixteen.

LCM of four and sixteen by Division Method

To calculate the LCM of iv and sixteen by the sectionalisation method, we will dissever the numbers(4, 16) by their prime factors (preferably common). The product of these divisors gives the LCM of 4 and 16.

Stride ane: Find the smallest prime number that is a factor of at least 1 of the numbers, 4 and sixteen. Write this prime number(2) on the left of the given numbers(4 and 16), separated as per the ladder arrangement.
Step 2: If any of the given numbers (four, xvi) is a multiple of ii, divide it by ii and write the quotient below it. Bring down any number that is not divisible by the prime.
Footstep 3: Proceed the steps until only 1s are left in the last row.

The LCM of four and 16 is the product of all prime numbers on the left, i.east. LCM(4, sixteen) by division method = 2 × two × ii × 2 = sixteen.

☛ As well Check:

LCM of 4 and 14 - 28
LCM of 21 and 56 - 168
LCM of v, eight and 12 - 120
LCM of 25 and lx - 300
LCM of 24 and 28 - 168
LCM of 15 and sixteen - 240
LCM of 25 and 36 - 900

FAQs on LCM of 4 and 16

What is the LCM of 4 and 16?

The LCM of 4 and sixteen is 16 . To find the to the lowest degree common multiple (LCM) of 4 and 16, nosotros demand to find the multiples of 4 and 16 (multiples of 4 = four, eight, 12, 16; multiples of 16 = sixteen, 32, 48, 64) and choose the smallest multiple that is exactly divisible past 4 and xvi, i.eastward., 16.

How to Detect the LCM of 4 and sixteen by Prime Factorization?

To observe the LCM of iv and 16 using prime factorization, we volition discover the prime factors, (4 = ii × two) and (xvi = 2 × two × 2 × 2). LCM of four and 16 is the product of prime number factors raised to their respective highest exponent among the numbers 4 and 16.
⇒ LCM of 4, 16 = ii⁴ = 16.

What is the Least Perfect Square Divisible by 4 and 16?

The to the lowest degree number divisible past 4 and 16 = LCM(4, 16)
LCM of four and sixteen = ii × two × ii × 2 [No incomplete pair]
⇒ Least perfect square divisible by each four and 16 = 16 [Square root of 16 = √16 = ±iv]
Therefore, 16 is the required number.

If the LCM of xvi and 4 is 16, Find its GCF.

LCM(16, 4) × GCF(16, 4) = 16 × iv
Since the LCM of 16 and iv = 16
⇒ sixteen × GCF(16, 4) = 64
Therefore, the greatest mutual factor (GCF) = 64/16 = 4.