Question

The LCM of 24 ,36 ,56 ,81 step by step

Answer 1

Step-by-step explanation:

Least Common Multiple is :

504

Calculate Least Common Multiple for :

24, 36 and 56

Factorize of the above numbers :

24 = 23 • 3

36 = 22 • 32

56 = 23 • 7

Build a prime factors table

Number of times each prime factor

appears in the factorization of :

Prime

Factor Number

24 Number

36 Number

56 L.C.M

(max)

2 3 2 3 3

3 1 2 0 2

7 0 0 1 1

LCM = 23 • 32 • 7

Least Common Multiple is :

504

Answer 2

Step-by-step explanation:

$2 |24.36.56.81| \\ 2|12.18.28.81| \\ 2 |6.9.14.81| \\ 3|3.9.7.81| \\ 3|1.3.7.27| \\ 3 |1.1.7.9| \\ 3|1.1.7.3| \\ 7 |1.1.7.1| \\ |1.1.1.1| \\ \\ lcm = 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 7 \\ = 8 \times 81 \times 7 \\ 648 \times 7 \\ = 4536$