LCM of 16 and 40 is the smallest number among all common multiples that 16 and 40. The first few multiples of 16 and also 40 space (16, 32, 48, 64, . . . ) and also (40, 80, 120, 160, 200, 240, . . . ) respectively. There space 3 generally used approaches to find LCM the 16 and 40 - by listing multiples, by element factorization, and also by division method.

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1.LCM the 16 and 40
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 16 and also 40 is 80.

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Explanation:

The LCM of 2 non-zero integers, x(16) and y(40), is the smallest optimistic integer m(80) the is divisible through both x(16) and also y(40) without any remainder.


Let's look at the various methods because that finding the LCM the 16 and 40.

By division MethodBy element Factorization MethodBy Listing Multiples

LCM the 16 and also 40 by department Method

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To calculation the LCM the 16 and also 40 by the department method, we will divide the numbers(16, 40) by their prime determinants (preferably common). The product of these divisors gives the LCM the 16 and 40.

Step 3: continue the actions until only 1s room left in the critical row.

The LCM the 16 and also 40 is the product of all prime numbers on the left, i.e. LCM(16, 40) by department method = 2 × 2 × 2 × 2 × 5 = 80.

LCM the 16 and 40 by prime Factorization

Prime administer of 16 and also 40 is (2 × 2 × 2 × 2) = 24 and also (2 × 2 × 2 × 5) = 23 × 51 respectively. LCM of 16 and 40 have the right to be derived by multiplying prime factors raised to your respective greatest power, i.e. 24 × 51 = 80.Hence, the LCM that 16 and 40 by prime factorization is 80.

LCM of 16 and also 40 by Listing Multiples

To calculate the LCM of 16 and 40 by listing the end the usual multiples, we can follow the given below steps:

Step 1: list a couple of multiples that 16 (16, 32, 48, 64, . . . ) and 40 (40, 80, 120, 160, 200, 240, . . . . )Step 2: The common multiples indigenous the multiples of 16 and also 40 room 80, 160, . . .Step 3: The smallest common multiple that 16 and also 40 is 80.

∴ The least common multiple of 16 and 40 = 80.

☛ also Check:


Example 1: Verify the relationship between GCF and LCM of 16 and 40.

Solution:

The relation between GCF and LCM of 16 and also 40 is offered as,LCM(16, 40) × GCF(16, 40) = Product that 16, 40Prime factorization of 16 and 40 is given as, 16 = (2 × 2 × 2 × 2) = 24 and also 40 = (2 × 2 × 2 × 5) = 23 × 51LCM(16, 40) = 80GCF(16, 40) = 8LHS = LCM(16, 40) × GCF(16, 40) = 80 × 8 = 640RHS = Product the 16, 40 = 16 × 40 = 640⇒ LHS = RHS = 640Hence, verified.


Example 3: uncover the the smallest number the is divisible by 16 and also 40 exactly.

Solution:

The smallest number the is divisible by 16 and also 40 specifically is your LCM.⇒ Multiples of 16 and also 40:

Multiples that 16 = 16, 32, 48, 64, 80, . . . .Multiples that 40 = 40, 80, 120, 160, 200, . . . .

Therefore, the LCM that 16 and also 40 is 80.


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FAQs ~ above LCM that 16 and 40

What is the LCM the 16 and also 40?

The LCM of 16 and 40 is 80. To find the least usual multiple of 16 and also 40, we require to discover the multiples of 16 and 40 (multiples of 16 = 16, 32, 48, 64 . . . . 80; multiples that 40 = 40, 80, 120, 160) and choose the the smallest multiple the is specifically divisible by 16 and also 40, i.e., 80.

If the LCM of 40 and also 16 is 80, find its GCF.

LCM(40, 16) × GCF(40, 16) = 40 × 16Since the LCM the 40 and 16 = 80⇒ 80 × GCF(40, 16) = 640Therefore, the greatest common factor (GCF) = 640/80 = 8.

What is the least Perfect Square Divisible by 16 and also 40?

The least number divisible through 16 and also 40 = LCM(16, 40)LCM of 16 and 40 = 2 × 2 × 2 × 2 × 5 ⇒ the very least perfect square divisible by each 16 and also 40 = LCM(16, 40) × 5 = 400 Therefore, 400 is the required number.

What is the Relation in between GCF and also LCM of 16, 40?

The complying with equation can be supplied to to express the relation between GCF and LCM of 16 and also 40, i.e. GCF × LCM = 16 × 40.

See more: What Is 22/100 In Simplest Form, 22/100 Simplified

How to find the LCM the 16 and 40 by element Factorization?

To uncover the LCM that 16 and 40 utilizing prime factorization, we will find the element factors, (16 = 2 × 2 × 2 × 2) and (40 = 2 × 2 × 2 × 5). LCM that 16 and also 40 is the product the prime components raised to your respective highest exponent amongst the number 16 and also 40.⇒ LCM that 16, 40 = 24 × 51 = 80.