Lcm Of 8 And 13
LCM of half dozen and viii is 24. The to the lowest degree common multiple is the process to detect the smallest common multiple between any ii or more numbers. Information technology is as well used to add together or subtract any 2 fractions when the denominators of the fraction are different. Hence Least Common Multiple is used to make the denominators mutual which makes the simplification process easier. Allow united states learn in detail how to detect the Least Mutual Multiple of vi and 8 by prime factorization, past segmentation method and by listing multiples in this article.
What is LCM of half dozen and eight?
The answer to this question is 24.
How to Find LCM of half dozen and 8?
LCM of 6 and 8 can be determined past using the three methods shown below:
- Prime number Factorisation
- Division method
- Listing the multiples
LCM of 6 and 8 Using Prime Factorisation Method
By prime factorisation method, we can write half dozen and viii as the product of prime number numbers, such that;
6 = 2 × 3
8 = 2 × 2 × 2
LCM (6, eight) = 24
LCM of six and eight Using Division Method
In this method, nosotros divide the numbers 6 and viii by their prime number factors to find their LCM. The production of these divisors denotes the least common multiple of 6 and 8. This tin be shown as beneath.
| 2 | half-dozen | 8 |
| 2 | 3 | 4 |
| two | 3 | 2 |
| three | 3 | 1 |
| 10 | 1 | 1 |
No more further division can be done.
Hence, LCM (6, 8) = two × 2 × two × three = 24
LCM of 6 and eight Using List the Multiples
Hither we listing out the multiples of 6 and 8 to find their least common multiple every bit shown below:
| Multiples of half dozen | Multiples of eight |
| vi | 8 |
| 12 | 16 |
| 18 | 24 |
| 24 | 32 |
LCM (half dozen, 8) = 24
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Solved Examples
Q.one Make up one's mind the smallest number that is divisible by 6 and eight e×actly.
Solution: The LCM of half-dozen and 8 is the smallest number that is divisible by 6 and 8 due east×actly
Multiples of 6: vi, 12, 18, 24, xxx, 36, 42….
Multiples of eight: 8, 16, 24, 32, 40, 48, 56….
Hence the LCM of 6 and viii is 24.
Q.2: The numbers ii and 24 are the GCF and LCM of two numbers respectively. If one number is 6, find the other number.
Solution: Let y be the other number
GCF × LCM = half dozen × y
y = (GCF × LCM) / vi
y = (2 × 24) / half dozen
y = 8
Hence the other number is 8.
Frequently Asked Questions on LCM of vi and eight
What is the LCM of 6 and 8?
The LCM of 6 and 8 is 24.
The number 42 is the LCM of 6 and 8. True or Imitation.
Simulated. The number 24 is the LCM of six and 8.
How do you discover the LCM of 6 and viii by Prime Factorization?
Prime factors of 6 = 2 × 3
Prime factors of 8 = ii × two × 2
LCM = 2 × two × 2 × 3 = 24.
Lcm Of 8 And 13,
Source: https://byjus.com/maths/lcm-of-6-and-8/
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