Answer:
[tex] LCM = 70a^2b [/tex]
Step-by-step explanation:
The LCM of [tex] 10a^2, 35ab, 14b [/tex], is the smallest expression of which each of the algebraic expression in the given set is divisible by it.
To find the LCM, follow these steps:
Step 1: Express each of the algebraic expressions in as product of its factors
[tex] 10a^2 = 2*5*a^2 [/tex]
[tex] 35ab = 5*7*a*b [/tex]
[tex] 14b = 2*7*b [/tex]
Step 2: Find the product of each factors with the highest power
[tex] LCM = 2*5*7*a^2*b [/tex]
[tex] LCM = 70a^2b [/tex]
