LCM the 60 and 80 is the the smallest number amongst all common multiples that 60 and 80. The first couple of multiples the 60 and also 80 room (60, 120, 180, 240, 300, 360, 420, . . . ) and also (80, 160, 240, 320, 400, 480, . . . ) respectively. There are 3 generally used approaches to uncover LCM that 60 and 80 - by element factorization, through listing multiples, and also by department method.

You are watching: What is the least common multiple of 60

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

Answer: LCM that 60 and 80 is 240.

*

Explanation:

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


The methods to find the LCM that 60 and 80 are described below.

By prime Factorization MethodBy Listing MultiplesBy division Method

LCM that 60 and 80 by prime Factorization

Prime administer of 60 and also 80 is (2 × 2 × 3 × 5) = 22 × 31 × 51 and (2 × 2 × 2 × 2 × 5) = 24 × 51 respectively. LCM of 60 and also 80 have the right to be derived by multiplying prime determinants raised to your respective greatest power, i.e. 24 × 31 × 51 = 240.Hence, the LCM the 60 and also 80 by prime factorization is 240.

LCM the 60 and 80 by Listing Multiples

*

To calculate the LCM of 60 and 80 by listing the end the usual multiples, we deserve to follow the given listed below steps:

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

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

LCM that 60 and 80 by department Method

*

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

Step 3: continue the steps until just 1s are left in the last row.

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

☛ likewise Check:


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

Solution:

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


*


FAQs ~ above LCM that 60 and also 80

What is the LCM the 60 and 80?

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

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

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

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

The the very least number divisible through 60 and also 80 = LCM(60, 80)LCM the 60 and 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 compelled number.

See more: Ball And Socket Joint Degree Of Freedom, Introductory Anatomy: Joints

What room the methods to discover LCM the 60 and also 80?

The generally used methods to discover the LCM of 60 and also 80 are:

Prime factorization MethodDivision MethodListing Multiples

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

The adhering to equation can be provided to express the relation between GCF and LCM of 60 and 80, i.e. GCF × LCM = 60 × 80.