Question

a and b are square numbers; the LCM of a and 140 is 560 the LCM of b and 140 is 700. find the lcm of a and b

Answer 1

1=560
2=3640
$2 \times 2 \times 2 \times 2 \times 35$

Answer 2

Answer:

The LCM is 400

Step-by-step explanation:

Given a and b are square numbers; the LCM of a and 140 is 560 the LCM of b and 140 is 700.

we have to find the LCM of a and b

As LCM of a and 140 is 560

$140=7\times 5\times 2^2$

$560=2^4\times 7\times 5$

The possibility of a number a is only that a is 16 a is square number

As LCM of b and 140 is 700

$140=7\times 5\times 2^2$

$700=5^2\times 7\times 2^2$

The possibility of a number b is $5^2\times 2^2=100$

The LCM of (16, 100)

$16=2^4$

$100=2^2\times 5^2$

LCM(16,100)=2^4\times 5^2=400[/tex]