LCM the 7 and also 8 is the smallest number amongst all common multiples the 7 and also 8. The first few multiples the 7 and also 8 room (7, 14, 21, 28, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There room 3 generally used techniques to uncover LCM that 7 and also 8 - by listing multiples, by prime factorization, and also by division method.
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| 1. | LCM the 7 and also 8 |
| 2. | List of Methods |
| 3. | Solved Examples |
| 4. | FAQs |
Answer: LCM that 7 and 8 is 56.
Explanation:
The LCM of two non-zero integers, x(7) and also y(8), is the smallest confident integer m(56) the is divisible by both x(7) and y(8) without any type of remainder.
Let's look in ~ the various methods because that finding the LCM of 7 and also 8.
By element Factorization MethodBy division MethodBy Listing MultiplesLCM of 7 and also 8 by element Factorization
Prime factorization of 7 and also 8 is (7) = 71 and also (2 × 2 × 2) = 23 respectively. LCM that 7 and 8 can be acquired by multiply prime determinants raised to their respective highest possible power, i.e. 23 × 71 = 56.Hence, the LCM of 7 and also 8 by prime factorization is 56.
LCM that 7 and also 8 by department Method
To calculation the LCM the 7 and 8 through the division method, we will divide the numbers(7, 8) by your prime determinants (preferably common). The product of these divisors provides the LCM of 7 and 8.
Step 3: proceed the steps until only 1s room left in the critical row.The LCM of 7 and also 8 is the product of all prime numbers on the left, i.e. LCM(7, 8) by department method = 2 × 2 × 2 × 7 = 56.
LCM the 7 and also 8 by Listing Multiples
To calculation the LCM the 7 and also 8 through listing out the typical multiples, we can follow the given below steps:
Step 1: perform a couple of multiples that 7 (7, 14, 21, 28, . . . ) and 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The common multiples native the multiples that 7 and 8 are 56, 112, . . .Step 3: The smallest typical multiple the 7 and 8 is 56.∴ The least common multiple that 7 and also 8 = 56.
☛ additionally Check:
FAQs ~ above LCM of 7 and also 8
What is the LCM of 7 and also 8?
The LCM that 7 and also 8 is 56. To discover the LCM of 7 and 8, we require to uncover the multiples the 7 and 8 (multiples of 7 = 7, 14, 21, 28 . . . . 56; multiples that 8 = 8, 16, 24, 32 . . . . 56) and choose the the smallest multiple the is precisely divisible by 7 and 8, i.e., 56.
What is the least Perfect Square Divisible by 7 and also 8?
The the very least number divisible by 7 and also 8 = LCM(7, 8)LCM the 7 and 8 = 2 × 2 × 2 × 7
What is the Relation between GCF and LCM of 7, 8?
The adhering to equation deserve to be offered to express the relation between GCF and also LCM the 7 and 8, i.e. GCF × LCM = 7 × 8.
If the LCM the 8 and 7 is 56, find its GCF.
LCM(8, 7) × GCF(8, 7) = 8 × 7Since the LCM that 8 and also 7 = 56⇒ 56 × GCF(8, 7) = 56Therefore, the GCF (greatest common factor) = 56/56 = 1.
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How to discover the LCM of 7 and 8 by element Factorization?
To discover the LCM of 7 and 8 utilizing prime factorization, us will discover the prime factors, (7 = 7) and also (8 = 2 × 2 × 2). LCM of 7 and also 8 is the product the prime factors raised to their respective greatest exponent amongst the numbers 7 and 8.⇒ LCM of 7, 8 = 23 × 71 = 56.