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(1). What is the side of the largest square that can be cut off from a rectangle typing sheet measuring 50 cm by 75cm ? (2). If Ais equal to 2 to the third power times 3 to the second power times 5 to the second power and (B) equal 2to the second power times 3 to the third power times 5 , what is the LCM of A &B ?

Respuesta :

adioabiola

The side of the largest square that can be cut off from a rectangle typing sheet measuring 50cm by 75cm is; 50 cm side square.

The lowest common multiple, LCM of A and B is; 2³ × 3³ × 5².

1. Reactangles and Squares

The given rectangle measures; 50 cm by 75cm.

  • In essence, the side of the largest square that can be cut off from the rectangle typing sheet is; 50 cm

2. Concept of LCM.

According to the question;

  • A is equal to 2 to the third power times 3 to the second power times 5 to the second power and (B) equal 2to the second power times 3 to the third power times 5.

Therefore;

  • A = 2³ × 3² × 5²

  • B = 2² × 3³ × 5.

From observation, The lowest common multiple of A and B is; 2³ × 3³ × 5².

In this manner, Both A and B are factors of 2³ × 3³ × 5².

Read more on LCM:

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