Lcd Of 15 And 9

LCM of ix and 15

LCM of 9 and 15 is the smallest number among all mutual multiples of ix and 15. The first few multiples of ix and 15 are (nine, 18, 27, 36, 45, . . . ) and (15, 30, 45, 60, 75, xc, . . . ) respectively. There are 3 usually used methods to find LCM of 9 and 15 - by prime factorization, by division method, and by list multiples.

1.	LCM of 9 and fifteen
2.	List of Methods
3.	Solved Examples
iv.	FAQs

What is the LCM of 9 and 15?

Respond: LCM of ix and 15 is 45.

Explanation:

The LCM of two non-zero integers, ten(nine) and y(15), is the smallest positive integer k(45) that is divisible past both x(ix) and y(15) without any remainder.

Methods to Find LCM of 9 and 15

Let'due south look at the different methods for finding the LCM of 9 and 15.

• By Sectionalization Method
• By Prime Factorization Method
• By Listing Multiples

LCM of nine and 15 by Division Method

To calculate the LCM of 9 and 15 by the division method, we will split up the numbers(nine, 15) by their prime factors (preferably mutual). The product of these divisors gives the LCM of 9 and 15.

• Step 1: Find the smallest prime number that is a factor of at least 1 of the numbers, nine and 15. Write this prime number(3) on the left of the given numbers(9 and xv), separated as per the ladder organisation.
• Step 2: If whatever of the given numbers (ix, fifteen) is a multiple of 3, separate it past 3 and write the quotient below it. Bring downwards whatever number that is not divisible by the prime number.
• Step iii: Go on the steps until only 1s are left in the concluding row.

The LCM of 9 and 15 is the production of all prime numbers on the left, i.due east. LCM(9, 15) by division method = 3 × three × five = 45.

LCM of 9 and 15 past Prime Factorization

Prime factorization of 9 and fifteen is (iii × 3) = three² and (three × 5) = iii^ane × 5¹ respectively. LCM of 9 and 15 can be obtained by multiplying prime factors raised to their respective highest power, i.due east. 3² × 5^ane = 45.
Hence, the LCM of 9 and xv past prime factorization is 45.

LCM of ix and 15 past List Multiples

To calculate the LCM of 9 and 15 by listing out the common multiples, we can follow the given beneath steps:

• Step i: List a few multiples of 9 (nine, 18, 27, 36, 45, . . . ) and 15 (xv, xxx, 45, threescore, 75, 90, . . . . )
• Stride 2: The common multiples from the multiples of 9 and 15 are 45, 90, . . .
• Step 3: The smallest common multiple of 9 and 15 is 45.

∴ The least mutual multiple of 9 and xv = 45.

☛ Also Check:

• LCM of 36 and 84 - 252
• LCM of 36 and 63 - 252
• LCM of 24 and 54 - 216
• LCM of 2601 and 2616 - 2268072
• LCM of 17 and 34 - 34
• LCM of 7, 8, 14 and 21 - 168
• LCM of 8, xv and 20 - 120

FAQs on LCM of ix and fifteen

What is the LCM of 9 and 15?

The LCM of nine and 15 is 45 . To notice the LCM of 9 and xv, we need to find the multiples of 9 and xv (multiples of 9 = 9, eighteen, 27, 36 . . . . 45; multiples of fifteen = 15, 30, 45, 60) and choose the smallest multiple that is exactly divisible by nine and 15, i.e., 45.

What is the Relation Betwixt GCF and LCM of 9, 15?

The following equation tin can exist used to express the relation between GCF and LCM of 9 and fifteen, i.e. GCF × LCM = 9 × 15.

Which of the post-obit is the LCM of 9 and xv? 21, 45, 18, xxx

The value of LCM of 9, 15 is the smallest mutual multiple of 9 and xv. The number satisfying the given condition is 45.

If the LCM of 15 and 9 is 45, Find its GCF.

LCM(15, 9) × GCF(15, 9) = 15 × 9
Since the LCM of xv and 9 = 45
⇒ 45 × GCF(15, 9) = 135
Therefore, the GCF = 135/45 = 3.

What is the To the lowest degree Perfect Square Divisible past 9 and fifteen?

The least number divisible by 9 and 15 = LCM(nine, 15)
LCM of nine and 15 = 3 × 3 × five [Incomplete pair(s): 5]
⇒ Least perfect foursquare divisible by each 9 and xv = LCM(9, 15) × 5 = 225 [Square root of 225 = √225 = ±15]
Therefore, 225 is the required number.

Lcd Of 15 And 9,

Source: https://www.cuemath.com/numbers/lcm-of-9-and-15/

Posted by: taylorcarposept.blogspot.com

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