Lcm Of 4 And 8
LCM of half-dozen and viii is 24. The to the lowest degree common multiple is the process to find the smallest mutual multiple between any two or more numbers. It is too used to add together or subtract any 2 fractions when the denominators of the fraction are unlike. Hence Least Common Multiple is used to brand the denominators common which makes the simplification procedure easier. Let u.s.a. learn in item how to observe the To the lowest degree Mutual Multiple of half dozen and 8 by prime factorization, by partitioning method and by listing multiples in this commodity.
What is LCM of 6 and eight?
The answer to this question is 24.
How to Find LCM of vi and eight?
LCM of 6 and 8 tin be determined by using the three methods shown beneath:
- Prime Factorisation
- Partition method
- Listing the multiples
LCM of 6 and viii Using Prime number Factorisation Method
By prime factorisation method, we can write vi and viii equally the production of prime numbers, such that;
6 = ii × 3
eight = two × 2 × 2
LCM (6, eight) = 24
LCM of half-dozen and 8 Using Division Method
In this method, we divide the numbers 6 and 8 by their prime number factors to find their LCM. The product of these divisors denotes the least common multiple of 6 and 8. This can be shown as below.
two | six | viii |
2 | 3 | 4 |
2 | iii | two |
3 | 3 | 1 |
ten | 1 | 1 |
No more further sectionalisation can exist washed.
Hence, LCM (6, 8) = two × 2 × ii × three = 24
LCM of 6 and 8 Using Listing the Multiples
Here nosotros listing out the multiples of six and 8 to discover their least common multiple as shown below:
Multiples of 6 | Multiples of 8 |
six | 8 |
12 | 16 |
18 | 24 |
24 | 32 |
LCM (6, 8) = 24
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Solved Examples
Q.1 Determine the smallest number that is divisible by vi and 8 e×actly.
Solution: The LCM of 6 and 8 is the smallest number that is divisible past 6 and 8 e×actly
Multiples of 6: 6, 12, 18, 24, 30, 36, 42….
Multiples of 8: 8, 16, 24, 32, 40, 48, 56….
Hence the LCM of 6 and eight is 24.
Q.2: The numbers 2 and 24 are the GCF and LCM of two numbers respectively. If one number is 6, notice the other number.
Solution: Permit y be the other number
GCF × LCM = 6 × y
y = (GCF × LCM) / half dozen
y = (2 × 24) / six
y = viii
Hence the other number is 8.
Oft Asked Questions on LCM of 6 and eight
What is the LCM of 6 and 8?
The LCM of six and 8 is 24.
The number 42 is the LCM of 6 and 8. True or False.
False. The number 24 is the LCM of six and 8.
How do y'all find the LCM of half dozen and 8 by Prime Factorization?
Prime number factors of vi = 2 × three
Prime number factors of 8 = 2 × two × 2
LCM = two × 2 × 2 × 3 = 24.
Lcm Of 4 And 8,
Source: https://byjus.com/maths/lcm-of-6-and-8/
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