Lcd Of 8 And 10
LCM of 8 and 10
LCM of 8 and x is the smallest number among all common multiples of 8 and ten. The first few multiples of 8 and 10 are (8, 16, 24, 32, 40, . . . ) and (10, 20, 30, 40, . . . ) respectively. There are iii commonly used methods to find LCM of eight and 10 - past prime factorization, by listing multiples, and past division method.
| 1. | LCM of viii and 10 |
| 2. | List of Methods |
| three. | Solved Examples |
| four. | FAQs |
What is the LCM of 8 and 10?
Reply: LCM of 8 and x is 40.
Explanation:
The LCM of two non-zero integers, ten(eight) and y(x), is the smallest positive integer one thousand(40) that is divisible by both x(8) and y(ten) without any remainder.
Methods to Find LCM of eight and 10
Let's wait at the dissimilar methods for finding the LCM of 8 and x.
- By Prime Factorization Method
- By List Multiples
- Past Partition Method
LCM of 8 and 10 by Prime number Factorization
Prime number factorization of 8 and ten is (2 × 2 × 2) = 23 and (ii × five) = two1 × 5ane respectively. LCM of eight and 10 tin be obtained past multiplying prime factors raised to their respective highest power, i.eastward. ii3 × 5ane = 40.
Hence, the LCM of 8 and 10 by prime number factorization is 40.
LCM of 8 and 10 by Listing Multiples
To summate the LCM of 8 and 10 by list out the common multiples, we can follow the given beneath steps:
- Stride 1: List a few multiples of 8 (8, xvi, 24, 32, 40, . . . ) and 10 (ten, 20, 30, 40, . . . . )
- Step two: The common multiples from the multiples of 8 and x are 40, 80, . . .
- Step three: The smallest common multiple of eight and 10 is xl.
∴ The least common multiple of eight and 10 = 40.
LCM of 8 and 10 past Partition Method
To calculate the LCM of 8 and 10 past the division method, nosotros will divide the numbers(8, 10) past their prime factors (preferably common). The product of these divisors gives the LCM of 8 and x.
- Footstep 1: Detect the smallest prime number that is a factor of at least one of the numbers, eight and 10. Write this prime number(2) on the left of the given numbers(viii and 10), separated as per the ladder organisation.
- Step 2: If whatever of the given numbers (viii, 10) is a multiple of 2, carve up it past 2 and write the quotient beneath it. Bring downwards any number that is not divisible by the prime number.
- Pace 3: Continue the steps until merely 1s are left in the last row.
The LCM of 8 and 10 is the product of all prime numbers on the left, i.e. LCM(8, ten) past division method = 2 × two × 2 × 5 = twoscore.
☛ Likewise Check:
- LCM of three and iii - iii
- LCM of 12 and 20 - lx
- LCM of half-dozen and 10 - 30
- LCM of 24 and 54 - 216
- LCM of 3, seven and 10 - 210
- LCM of 24 and 42 - 168
- LCM of 7, 8, 14 and 21 - 168
FAQs on LCM of 8 and 10
What is the LCM of 8 and 10?
The LCM of eight and 10 is 40 . To discover the least common multiple of 8 and 10, we need to discover the multiples of viii and ten (multiples of eight = 8, 16, 24, 32 . . . . 40; multiples of 10 = ten, twenty, thirty, twoscore) and choose the smallest multiple that is exactly divisible past 8 and 10, i.e., twoscore.
What is the Relation Between GCF and LCM of viii, 10?
The post-obit equation can be used to express the relation between GCF and LCM of 8 and ten, i.e. GCF × LCM = eight × ten.
If the LCM of 10 and viii is 40, Find its GCF.
LCM(10, viii) × GCF(10, 8) = 10 × 8
Since the LCM of 10 and viii = twoscore
⇒ twoscore × GCF(ten, 8) = 80
Therefore, the greatest common gene (GCF) = eighty/40 = 2.
What is the Least Perfect Foursquare Divisible past eight and 10?
The least number divisible by viii and 10 = LCM(8, ten)
LCM of viii and 10 = two × 2 × 2 × 5 [Incomplete pair(south): 2, five]
⇒ Least perfect foursquare divisible by each 8 and ten = LCM(viii, x) × 2 × 5 = 400 [Square root of 400 = √400 = ±20]
Therefore, 400 is the required number.
Which of the following is the LCM of 8 and 10? 36, 40, 35, three
The value of LCM of 8, 10 is the smallest common multiple of 8 and ten. The number satisfying the given status is forty.
Lcd Of 8 And 10,
Source: https://www.cuemath.com/numbers/lcm-of-8-and-10/
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