LCM of 15 and 30

We can simplify the arithmetic operations with fractions by equating the denominators and in other mathematical scenarios by using the LCM. The smallest positive integer, and a multiple of both 15 and 30, is the LCM of the numbers. 

LCM is one of the easiest mathematical problems taught in school. There are many methods for calculating LCM of numbers. Here we are listing few of them below - 
 

The LCM of 15 and 30 can be found using the following steps;

Step 1: Write down the multiples of each number: 

Multiples of 15 = 15,30,…

Multiples of 30 = 30,60,…

Step 2: Find the smallest multiple from the listed multiples. The LCM of the numbers 15 and 30 is 30.

The highest power of the prime factors is multiplied to get the LCM after the prime factors of each number are written.

Step1:  Find the prime factors of the numbers:

Prime factorization of 15  = 5×3

Prime factorization of 30  = 2×5×3

Step2: To find the LCM, multiply the highest power of each factor.

LCM (15,30) = 30

The Division Method involves dividing the numbers by their prime factors and multiplying the divisors in the first column to find the LCM. 

Step 1:Write down the numbers 15 and 30 in a row;

Step 2:A prime integer that is evenly divisible into at least one of the numbers out of 15 and 30 should be used to divide the row of numbers.

Step 3:Continue dividing the numbers until the last row of the results is ‘1’ and carry forward the numbers not divisible by the previously chosen prime number.

     
Step 4:The LCM of the numbers is the product of the prime numbers in the first column, i.e, 
LCM (15,30) = 30

• Multiple: It is a product of a number and any natural integer. So for 15, both 3 and 5 are the multiples.

• Prime Factor : It is a prime number that one gets after factorization of any given number. Like for 15, both 3 and 5 are prime factors as they can be divided by 1 or the number itself.

• Prime Factorization: It is a process of dividing the number into prime factors.

• Co-prime numbers: These are the positive integers where both the numbers can be divided only by 1. So, both 3 and 5 are co-prime numbers.

• Fraction:It is expressed as part of a whole, in which the numerator is divided by the denominator, so for a fraction like 3/5–3 is the numerator and 5 is the denominator. Proper fraction is where numerator is always lesser than denominator.