LCM the 60 and also 80 is the the smallest number among all typical multiples that 60 and also 80. The first couple of multiples the 60 and 80 are (60, 120, 180, 240, 300, 360, 420, . . . ) and (80, 160, 240, 320, 400, 480, . . . ) respectively. There space 3 frequently used techniques to discover LCM the 60 and 80 - by element factorization, by listing multiples, and also by department method.

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1.LCM of 60 and 80
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 60 and also 80 is 240.

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Explanation:

The LCM of 2 non-zero integers, x(60) and also y(80), is the smallest confident integer m(240) that is divisible through both x(60) and also y(80) without any type of remainder.


The approaches to discover the LCM of 60 and also 80 are defined below.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM of 60 and 80 by prime Factorization

Prime factorization of 60 and also 80 is (2 × 2 × 3 × 5) = 22 × 31 × 51 and also (2 × 2 × 2 × 2 × 5) = 24 × 51 respectively. LCM of 60 and also 80 can be derived by multiply prime components raised to their respective greatest power, i.e. 24 × 31 × 51 = 240.Hence, the LCM that 60 and also 80 by element factorization is 240.

LCM that 60 and 80 by Listing Multiples

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To calculation the LCM of 60 and 80 by listing out the usual multiples, we can follow the given below steps:

Step 1: list a few multiples that 60 (60, 120, 180, 240, 300, 360, 420, . . . ) and also 80 (80, 160, 240, 320, 400, 480, . . . . )Step 2: The usual multiples from the multiples that 60 and also 80 are 240, 480, . . .Step 3: The smallest common multiple that 60 and also 80 is 240.

∴ The least usual multiple the 60 and 80 = 240.

LCM of 60 and also 80 by department Method

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To calculation the LCM the 60 and also 80 by the division method, we will divide the numbers(60, 80) by their prime factors (preferably common). The product of these divisors provides the LCM the 60 and also 80.

Step 3: proceed the steps until only 1s are left in the last row.

The LCM of 60 and 80 is the product of all prime numbers on the left, i.e. LCM(60, 80) by division method = 2 × 2 × 2 × 2 × 3 × 5 = 240.

☛ additionally Check:


Example 3: Verify the relationship between GCF and also LCM of 60 and also 80.

Solution:

The relation in between GCF and LCM the 60 and 80 is given as,LCM(60, 80) × GCF(60, 80) = Product that 60, 80Prime factorization of 60 and also 80 is given as, 60 = (2 × 2 × 3 × 5) = 22 × 31 × 51 and also 80 = (2 × 2 × 2 × 2 × 5) = 24 × 51LCM(60, 80) = 240GCF(60, 80) = 20LHS = LCM(60, 80) × GCF(60, 80) = 240 × 20 = 4800RHS = Product of 60, 80 = 60 × 80 = 4800⇒ LHS = RHS = 4800Hence, verified.


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FAQs top top LCM the 60 and also 80

What is the LCM of 60 and also 80?

The LCM the 60 and also 80 is 240. To uncover the LCM of 60 and also 80, we require to uncover the multiples the 60 and 80 (multiples of 60 = 60, 120, 180, 240; multiples the 80 = 80, 160, 240, 320) and also choose the the smallest multiple that is specifically divisible through 60 and also 80, i.e., 240.

If the LCM the 80 and 60 is 240, discover its GCF.

LCM(80, 60) × GCF(80, 60) = 80 × 60Since the LCM of 80 and also 60 = 240⇒ 240 × GCF(80, 60) = 4800Therefore, the greatest common factor = 4800/240 = 20.

What is the the very least Perfect Square Divisible by 60 and also 80?

The least number divisible by 60 and also 80 = LCM(60, 80)LCM that 60 and also 80 = 2 × 2 × 2 × 2 × 3 × 5 ⇒ the very least perfect square divisible by every 60 and also 80 = LCM(60, 80) × 3 × 5 = 3600 Therefore, 3600 is the required number.

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What are the techniques to uncover LCM that 60 and also 80?

The typically used methods to discover the LCM that 60 and also 80 are:

Prime factorization MethodDivision MethodListing Multiples

What is the Relation in between GCF and also LCM that 60, 80?

The following equation deserve to be supplied to to express the relation between GCF and LCM the 60 and 80, i.e. GCF × LCM = 60 × 80.