Question

Find the L.C.M of 30,40 and 50 by long division method

Answer 1

Answer:

120

Step-by-step explanation:

$30= 2 \times 3 \times 5 \\ 40 = 2 \times 2 \times 2 \times 5 = {2}^{3} \times 5 \\ 50 = 2 \times 5 \times 5 = 2 \times {5}^{2} \\ \\ Now\: we \: raise \: each \: of \: the \: primes \: to \: the \: highest \: power \: present \: i.e. \\ \\ {2}^{3} \times 3 \times {5}^{2} = 8 \times 3 \times 5 = 120 \\ \\ So \: L.C.M \: is \: 120</p><p></p><p></p><p>$