Question

find the LCM of 36 27 and 18 by prime factorisation method​

Answer 1

Answer:

Least Common Multiple is the smallest number which is exactly divisible by 18, 36 and 27

Step-by-step explanation:

we write each number in prime factored form. Then, take the product of all factors in their highest power.

Prime Factorisation of 18: 2 × 32

Prime Factorisation of 36: 22 × 32

Prime Factorisation of 27: 33

LCM of 18, 36 and 27: 22 × 33 = 108

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Answer 2

Answer:

Prime factorisation :

Of 36 =3*3*2*2 = (3^2) * (2^2)

Of 27 = (3^3)

Of 18 = (2) * (3^2)

Now we want to take prime factor with higher power.

LCM = (3^3) * (2^2) = 108.