LCM the 9 and 15 is the smallest number among all usual multiples of 9 and also 15. The first couple of multiples the 9 and also 15 are (9, 18, 27, 36, 45, . . . ) and (15, 30, 45, 60, 75, 90, . . . ) respectively. There space 3 commonly used techniques to uncover LCM the 9 and also 15 - by element factorization, by department method, and also by listing multiples.
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| 1. | LCM the 9 and 15 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
Answer: LCM of 9 and also 15 is 45.
Explanation:
The LCM of 2 non-zero integers, x(9) and also y(15), is the smallest confident integer m(45) the is divisible by both x(9) and y(15) without any kind of remainder.
Let's look in ~ the various methods for finding the LCM of 9 and also 15.
By department MethodBy element Factorization MethodBy Listing MultiplesLCM of 9 and also 15 by department Method
To calculate the LCM that 9 and 15 by the department method, we will certainly divide the numbers(9, 15) by their prime factors (preferably common). The product of this divisors provides the LCM the 9 and also 15.
Step 3: proceed the measures until only 1s room left in the critical row.The LCM that 9 and also 15 is the product of every prime numbers on the left, i.e. LCM(9, 15) by division method = 3 × 3 × 5 = 45.
LCM that 9 and 15 by prime Factorization
Prime administer of 9 and also 15 is (3 × 3) = 32 and also (3 × 5) = 31 × 51 respectively. LCM the 9 and 15 deserve to be obtained by multiplying prime components raised to their respective highest power, i.e. 32 × 51 = 45.Hence, the LCM of 9 and 15 by element factorization is 45.
LCM the 9 and also 15 by Listing Multiples
To calculate the LCM the 9 and 15 by listing out the common multiples, we have the right to follow the given below steps:
Step 1: list a few multiples the 9 (9, 18, 27, 36, 45, . . . ) and 15 (15, 30, 45, 60, 75, 90, . . . . )Step 2: The usual multiples native the multiples that 9 and 15 room 45, 90, . . .Step 3: The smallest typical multiple of 9 and also 15 is 45.∴ The least usual multiple that 9 and also 15 = 45.
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FAQs on LCM of 9 and also 15
What is the LCM of 9 and 15?
The LCM of 9 and also 15 is 45. To discover the LCM the 9 and 15, we need to uncover the multiples the 9 and 15 (multiples of 9 = 9, 18, 27, 36 . . . . 45; multiples the 15 = 15, 30, 45, 60) and also choose the the smallest multiple the is precisely divisible by 9 and 15, i.e., 45.
What is the Relation between GCF and LCM that 9, 15?
The complying with equation can be used to to express the relation between GCF and also LCM of 9 and 15, i.e. GCF × LCM = 9 × 15.
Which of the adhering to is the LCM the 9 and 15? 21, 45, 18, 30
The value of LCM of 9, 15 is the smallest common multiple the 9 and 15. The number satisfying the given condition is 45.
If the LCM the 15 and also 9 is 45, discover its GCF.
LCM(15, 9) × GCF(15, 9) = 15 × 9Since the LCM that 15 and also 9 = 45⇒ 45 × GCF(15, 9) = 135Therefore, the GCF = 135/45 = 3.
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What is the least Perfect Square Divisible by 9 and 15?
The least number divisible through 9 and 15 = LCM(9, 15)LCM of 9 and 15 = 3 × 3 × 5