Solved Example on LCM of 8 and 12
Some examples on LCM of 8 and 12
Example 1: Find the LCM if the product of two numbers is 96 and the GCD is 4.
Solution:
Given,
- Product of Two Numbers = 96
- GCD = 4
We know, LCM × GCD = Product of Two Numbers
LCM = Product/GCD
LCM = 96/4
LCM = 24
Example 2: Verify the relationship between GCF and LCM of 8 and 12.
Solution:
LCM(8, 12) × GCF(8, 12) = Product of 8, 12
8 = 2 × 2 × 2 = 23
12 = 2 × 2 × 3 = 22 × 3
LCM (8, 12) = 23 × 3= 24
HCF (8, 12) = 22 = 4
LCM (8, 12) × HCF (8, 12) = 24 × 4= 96
Product of 8, 12= 8 × 12= 96
Example 3: GCD and LCM of two numbers are 4 and 24 respectively. If one number is 8, find the other number.
Solution:
Let other number be x
GCD × LCM = 8 × x
x = (GCD × LCM)/8
x = (4 × 24)/8
x = 12
Therefore, the other number is 12.
Example 4: How to Find the LCM of 8 and 12 by Prime Factorization?
Solution:
8 = 2 × 2 × 2 = 23
12 = 2 × 2 × 3 = 22 × 3
LCM (8, 12) = 24
lcm of 8 and 12
LCM of 8 and 12 is 24. LCM is called Lest Common Multiple. The LCM of two non-zero integers, 8 and 12, is the smallest positive integer 24 which is divisible by both 8 and 12 with no remainder.
In this article, we will learn about what is the LCM of 8 and 12, What is LCM, and How to Find LCM of 8 and 12 using various methods like Prime factorization, Listing Multiples, and By Long Division Method.