Question

find the LCM the following number by Division method. 10,18,30​

Answer 1

Answer:

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 20 and 30 by division method.

Solution:

least common multiple (L.C.M) of 20 and 30

Least common multiple (L.C.M) of 20 and 30 = 2 × 2 × 5 × 3 = 60.

2. Find least common multiple (L.C.M) of 50 and 75 by division method.

Solution:

Least Common Multiple (L.C.M) of 50 and 75

Least common multiple (L.C.M) of 50 and 75 = 5× 5 × 2 × 3 = 150.

3. Find the LCM of 15, 35 and 45 using division method.

Least Common Multiple by using Division Method

2Save

LCM of 15, 35 and 45 = 3 × 5 × 1 × 7 × 3 = 315

Answer 2

Answer:

10/18/30

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

LCM is 90

10 = 2 • 5

10 = 2 • 5 18 = 2 • 32

10 = 2 • 5 18 = 2 • 32 30 = 2 • 3 • 5