Find the LCM of the given Numbers by Division Method: 20, 36, 63, 67

Q. Find the LCM of the given numbers by division method: 20, 36, 63, 67.

Ans:- Using the division method, we must identify the lowest common multiple of 4 numbers: 20, 36, 63, and 67. We put the given values in some rows separated by commas to obtain the LCM using the division method and next divide the values by a common prime value. When we approach prime numbers, we stop dividing. The LCM of the data set is the product of common and unusual prime factors.

Follow the following steps in order:

• The numbers are 20, 36, 63, and 67 in this case. Let’s use the division approach to identify their least common multiple value.
• We begin by writing all of the numbers in a row, separated by a comma. 
• Then divide by 2, the least prime integer, and separate 2 of the numbers. 
• The fraction is then placed exactly beneath them, and the number that is not divided remains the same.
• After that, divide by 2 again, and 2 of the values will be divided while the other will remain the same. 
• Then, by dividing by three, two numbers are split in half.
• When you divide two numbers by three, you get two new numbers.
• When you divide by 5, you only receive one result. 
• Divide by 67 and 7 in the same way.
• The division method generates prime numbers 2, 2, 3, 3, 5, 7, and 67.

02∣ 20,36,63,67

02∣ 10,18,63,67

03∣ 5,9,63,67

03∣ 5,3,21,67

05∣ 5,1,7,67

07∣ 1,1,7,67

67∣ 1,1,1,67

     ∣ 1,1,1,1

Let us now multiply those prime numbers to obtain the least common multiple or LCM.

Therefore, 84420 is obtained by multiplying 2, 2, 3, 3, 5, 7, and 67. (2×2×3×3×5×7×67=84420)

Therefore,the LCM value of 20, 36, 63, 67 is 84420.