what is LCM of 6ab^2 and 3a^2b
for the 6 and 3, it would be 6
for the a and a^2 , it would be a^2
for the b and b^2, it would be b^2
so .......
To find the LCM (Least Common Multiple) of 6ab^2 and 3a^2b, we need to break down each term into its prime factors and then take the highest power of each prime factor.
Let's start with 6ab^2:
- Prime factorization of 6: 2 * 3
- Prime factorization of a: a^1
- Prime factorization of b^2: b^2
Now let's move on to 3a^2b:
- Prime factorization of 3: 3
- Prime factorization of a^2: a^2
- Prime factorization of b: b^1
To find the LCM, we need to take the highest powers of all the prime factors involved. Therefore, the LCM would be:
2 * 3 * a^2 * b^2 = 6a^2b^2
So, the LCM of 6ab^2 and 3a^2b is 6a^2b^2.