Question

L.c.m of 3ab, 9a²c , and 12a²c²​

Answer 1

Step-by-step explanation:

36ba^2c^2 is the LCM of the question

Answer 2

SOLUTION

TO DETERMINE

LCM of 3ab , 9a²c , and 12a²c²

CONCEPT TO BE IMPLEMENTED

HCF :

For the given two or more numbers HCF is the greatest number that divides each of the numbers

LCM :

For the given two or more numbers LCM is the least number which is exactly divisible by each of the given numbers

EVALUATION

Here the given expressions are 3ab , 9a²c , and 12a²c²

First expression

= 3ab

= 3 × a × b

Second expression

= 9a²c

= 3 × 3 × a × a × c

Third expression

= 12a²c²

= 2 × 2 × 3 × a × a × c × c

Hence the required LCM

= 2 × 2 × 3 × a × a × c × c × 3 × b

= 36a²bc²

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