find the lcm and hcf of 120 and 144 by fundamental theorem of airthmetic
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Answered by
41
We have 120 = 2 X 2 X 2 X 3 X 5 = 23 X 3 X 5
144 = 2 X 2 X 2 X 2 X 3 X 3 = 24 X 32
LCM=24 x32 x 5=720
HCF = 23 x 3 = 24
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144 = 2 X 2 X 2 X 2 X 3 X 3 = 24 X 32
LCM=24 x32 x 5=720
HCF = 23 x 3 = 24
·
Answered by
54
Hi !
Fundamental theorem of arithmetic :-
It states that every composite no: can be expressed as the product of its prime , and this factorization is unique , apart from the order in which the prime factors occur.
Prime factorization of 120 and 144 :-
120 = 2³ × 3 × 5
144 = 2⁴ × 3²
HCF = 2³ × 3
= 24
LCM = 2⁴ × 3² × 5 = 720
Fundamental theorem of arithmetic :-
It states that every composite no: can be expressed as the product of its prime , and this factorization is unique , apart from the order in which the prime factors occur.
Prime factorization of 120 and 144 :-
120 = 2³ × 3 × 5
144 = 2⁴ × 3²
HCF = 2³ × 3
= 24
LCM = 2⁴ × 3² × 5 = 720
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