Question

27. The LCM of 30 and 45 is
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Answer 1

Answer:

Least Common Multiple of 30 and 45 = 90

Step 1: Find the prime factorization of 30

30 = 2 x 3 x 5

Step 2: Find the prime factorization of 45

45 = 3 x 3 x 5

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 90 = 2 x 3 x 3 x 5

Step 4: Therefore, the least common multiple of 30 and 45 is 90.

Answer 2

Answer:

=> 90

Step-by-step explanation:

As per the data given in the question, we have to find the LCM of the given numbers.

Given numbers:-

$30$ and $45$

To find:- LCM of the given numbers

For that first, we have to write the prime factors of each number.

The prime factors of $30$ are 2, 3, and 5.

The prime factors of $45$ are 3, 3, and 5.

The prime factors 2 and 5 appear only once, while 3 appears multiple times.

The product of all factors with the greatest number of occurrences is the least common multiple.

LCM = $2\times 3\times 3\times 5$

LCM = $2\times 3^3\times5$

LCM = $90$

Hence, the LCM of $30$ and $45$ is 90.