Lcd Of 15 And 12

LCM of 12 and 15 is 60 . The LCM of whatever two integers in mathematics is the value that is evenly divisible by the two values. The smallest number among all frequent multiples of 12 and 15 is the LCM of 12 and 15. (12, 24, 36, 48, lx, 72, 84, etc.) and (15, thirty, 45, threescore, etc.) are the outset few multiples of 12 and xv, respectively. There are three typical ways for computing the LCM of 12 and 15: partitioning, prime factorization, and list multiples.

Besides read: Least common multiple

What is LCM of 12 and 15?

The respond to this question is 60. The LCM of 12 and 15 using various methods is shown in this article for your reference. The LCM of two non-nada integers, 12 and 15, is the smallest positive integer sixty which is divisible by both 12 and 15 with no balance.

How to Notice LCM of 12 and 15?

LCM of 12 and 15 can exist establish using three methods:

• Prime Factorisation
• Partitioning method
• Listing the multiples

LCM of 12 and 15 Using Prime Factorisation Method

The prime factorisation of 12 and 15, respectively, is given past:

12 = ii ten ii x 3 = ii ² x 3

15 = iii 10 five

LCM (12, 15) = 60

LCM of 12 and 15 Using Segmentation Method

Nosotros'll dissever the numbers (12, 15) by their prime number factors to get the LCM of 12 and 15 using the division method (preferably mutual). The LCM of 12 and 15 is calculated by multiplying these divisors.

two	12	xv
2	half dozen	15
3	three	15
5	1	v
	1	i

No further sectionalisation can exist done.

Hence, LCM (12, 15) = 60

LCM of 12 and 15 Using Listing the Multiples

To calculate the LCM of 12 and 15 by list out the common multiples, list the multiples as shown below

Multiples of 12	Multiples of xv
12	15
24	30
36	45
48	60
sixty	75

The smallest mutual multiple of 12 and 15 is 60.

LCM (12, 15) = 60

Related Manufactures

• HCF and LCM
• Prime number Factorization
• LCM figurer
• Prime Factorization Reckoner

Video Lesson on Applications of LCM

LCM of 12 and 15 Solved Example

The production of 2 numbers is 180. If their GCD is 3, what is their LCM?

Solution:

Given: GCD = 3

product of numbers = 180

Because LCM × GCD = product of numbers

Which implies LCM = Product/GCD = 180/3

Therefore, the LCM is 60.

The likely combination for the given case is LCM(12, xv) = 60.

Frequently Asked Questions on LCM of 12 and 15

What is the LCM of 12 and 15?

The LCM of 12 and xv is lx. To detect the to the lowest degree common multiple (LCM) of 12 and fifteen, we need to find the multiples of 12 and xv (multiples of 12 = 12, 24, 36, 48 . . . . 60; multiples of 15 = 15, 30, 45, 60) and cull the smallest multiple that is exactly divisible past 12 and 15, i.due east., 60.

Listing the methods used to find the LCM of 12 and 15.

The methods used to find the LCM of 12 and 15 are the Prime number Factorization Method, Sectionalization Method and Listing multiples.

If the LCM of 15 and 12 is 60, Find its GCF.

LCM(fifteen, 12) × GCF(15, 12) = 15 × 12
Since the LCM of 15 and 12 = 60
⇒ threescore × GCF(xv, 12) = 180
Therefore, the greatest common factor = 180/60 = 3.

Lcd Of 15 And 12,

Source: https://byjus.com/maths/lcm-of-12-and-15/

Posted by: rosastichich.blogspot.com

Share this post