Question

find the HCF and LCM of prime factorization 36, 45, 90​

Answer 1

Hi there !!

Fundamental theorem of arithmetic :

Every composite number can be expressed as a product of primes, and this factorisation is unique except for the order in which the prime factors occur.

36= 2²×3²

45= 5×3²

90= 5×3²×2

L.C.M= 2²×3²×5= 180( Highest power)

H.C.F =3²= 9(Lowest power)

Hope it helps you :)

Answer 2

Answer:-

L.C.M=>Least common multiple

H.C.F=>Higgest common factor

36= 2²×3²

45= 5×3²

90= 5×3²×2

L.C.M= 2²×3²×5= 180

H.C.F =3²= 9

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Refer the attachment :-