Question

find the LCM of 15,24 by Division method​

Answer 1

Answer:

LCM(15,24) = 120........

Answer 2

Answer:

120

Step-by-step explanation:

Step 1: Write the given numbers in a horizontal line, separating them by commas.  

Step 2: Divide them by a suitable prime number, which exactly divides at least two of the given numbers.

Step 3: We put the quotient directly under the numbers in the next row. If the number is not divided exactly, we bring it down in the next row.

Step 4: We continue the process of step 2 and step 3 until all co-prime numbers are left in the last row.

Step 5: We multiply all the prime numbers by which we have divided and the co-prime numbers left in the last row. This product is the least common multiple of the given numbers.

For example:  

1. Find least common multiple (L.C.M) of 15 and 24 by division method.

Solution:

least common multiple (L.C.M) of 24 and 15

Least common multiple (L.C.M) of 15 and 24 = 3 × 5 × 2 × 12 = 120