Question

Find the least common multiple of 40a3bc and 28a2b4cd​

Answer 1

Answer:

The least common multiple is $280a^6b^4cd$

Step-by-step explanation:

We find the least common multiple of the constant, and of each term.

Least common multiple of 40 and 28:

40 - 28|2

20 - 14|2

10 - 7|2

5 - 7|5

1 - 7|7

1 - 1

2*2*2*5*7 = 280

LCM of a^3 and a².

Exponents are 3 and 2.

LCM of 3 and 2 is 6. So

$a^6$

b and b^4

LCM of 1 and 4, which are the exponents, is 4. So

$b^4$

c and c

LCM of 1 and 1 is 1. So c

d

In the first term, no d means that it is $d^0 = 1$

In the second, $d^1 = d$

LCM of 0 and 1 is 1. So

d

Least common multiple:

Multiplication of all the LCM's. So

$280a^6b^4cd$