Lcd Of 9 And 3
LCM of 3 and nine
LCM of 3 and 9 is the smallest number among all common multiples of 3 and 9. The kickoff few multiples of three and 9 are (3, half dozen, 9, 12, xv, . . . ) and (9, 18, 27, 36, 45, 54, 63, . . . ) respectively. There are 3 usually used methods to observe LCM of three and 9 - by division method, by prime factorization, and past listing multiples.
| i. | LCM of 3 and 9 |
| two. | List of Methods |
| three. | Solved Examples |
| 4. | FAQs |
What is the LCM of 3 and 9?
Answer: LCM of 3 and ix is nine.
Explanation:
The LCM of ii non-zero integers, x(iii) and y(9), is the smallest positive integer thousand(9) that is divisible by both ten(3) and y(9) without any balance.
Methods to Notice LCM of 3 and 9
Let'south look at the different methods for finding the LCM of 3 and nine.
- By Division Method
- By Prime Factorization Method
- By Listing Multiples
LCM of three and 9 by Division Method
To summate the LCM of 3 and 9 past the division method, we will separate the numbers(3, 9) past their prime number factors (preferably common). The product of these divisors gives the LCM of three and 9.
- Step 1: Observe the smallest prime that is a factor of at to the lowest degree ane of the numbers, 3 and 9. Write this prime number(3) on the left of the given numbers(iii and 9), separated as per the ladder arrangement.
- Step 2: If whatsoever of the given numbers (3, 9) is a multiple of 3, separate it past 3 and write the quotient below it. Bring down any number that is not divisible by the prime number.
- Step 3: Continue the steps until simply 1s are left in the final row.
The LCM of iii and nine is the product of all prime numbers on the left, i.east. LCM(3, ix) by segmentation method = 3 × 3 = ix.
LCM of 3 and 9 past Prime Factorization
Prime number factorization of 3 and 9 is (three) = 3ane and (3 × 3) = three2 respectively. LCM of 3 and nine can be obtained by multiplying prime factors raised to their respective highest power, i.e. iiitwo = nine.
Hence, the LCM of iii and 9 by prime factorization is nine.
LCM of 3 and 9 by List Multiples
To calculate the LCM of 3 and 9 past list out the common multiples, nosotros can follow the given below steps:
- Step 1: List a few multiples of 3 (three, 6, 9, 12, xv, . . . ) and ix (9, 18, 27, 36, 45, 54, 63, . . . . )
- Step 2: The common multiples from the multiples of 3 and ix are nine, 18, . . .
- Step 3: The smallest common multiple of 3 and 9 is 9.
∴ The to the lowest degree common multiple of 3 and 9 = nine.
☛ Also Cheque:
- LCM of 6 and 7 - 42
- LCM of 4 and 10 - 20
- LCM of 25 and 100 - 100
- LCM of three and vii - 21
- LCM of 56 and 72 - 504
- LCM of 13 and 15 - 195
- LCM of 8 and 42 - 168
FAQs on LCM of 3 and 9
What is the LCM of 3 and 9?
The LCM of 3 and ix is 9 . To find the least common multiple (LCM) of iii and 9, we need to find the multiples of iii and ix (multiples of 3 = three, 6, 9, 12; multiples of 9 = ix, 18, 27, 36) and cull the smallest multiple that is exactly divisible by 3 and 9, i.due east., 9.
What are the Methods to Find LCM of 3 and 9?
The commonly used methods to find the LCM of 3 and ix are:
- Partition Method
- Prime Factorization Method
- Listing Multiples
What is the Least Perfect Foursquare Divisible by iii and nine?
The to the lowest degree number divisible by three and 9 = LCM(3, 9)
LCM of 3 and 9 = three × 3 [No incomplete pair]
⇒ Least perfect foursquare divisible by each 3 and nine = 9 [Square root of 9 = √9 = ±iii]
Therefore, ix is the required number.
Which of the following is the LCM of 3 and nine? xv, ix, 2, 42
The value of LCM of three, ix is the smallest mutual multiple of 3 and ix. The number satisfying the given condition is ix.
If the LCM of nine and 3 is 9, Detect its GCF.
LCM(9, three) × GCF(9, iii) = 9 × 3
Since the LCM of 9 and three = 9
⇒ 9 × GCF(9, iii) = 27
Therefore, the GCF (greatest common gene) = 27/nine = iii.
Lcd Of 9 And 3,
Source: https://www.cuemath.com/numbers/lcm-of-3-and-9/
Posted by: satterfieldgonofferand.blogspot.com
0 Response to "Lcd Of 9 And 3"
Post a Comment