find the HCF and LCM of 60,120 and 288.
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HCF :-
Prime factors of 60=22 . 3 . 5
Prime factors of 120=23 . 3 . 5
Prime factors of 288=25 . 32
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 31
GCF = 22. 31 = 12
LCM :-
Prime factors of 60=22 . 3 . 5
Prime factors of 120=23 . 3 . 5
Prime factors of 288=25 . 32
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 25, 32
Uncommon prime factors: 5
Uncommon prime factors with the greatest exponent: 51
LCM = 25. 32. 51 = 1440
Prime factors of 60=22 . 3 . 5
Prime factors of 120=23 . 3 . 5
Prime factors of 288=25 . 32
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 31
GCF = 22. 31 = 12
LCM :-
Prime factors of 60=22 . 3 . 5
Prime factors of 120=23 . 3 . 5
Prime factors of 288=25 . 32
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 25, 32
Uncommon prime factors: 5
Uncommon prime factors with the greatest exponent: 51
LCM = 25. 32. 51 = 1440
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Answer:
HCF :-
Prime factors of 60=22 . 3 . 5
Prime factors of 120=23 . 3 . 5
Prime factors of 288=25 . 32
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 31
GCF = 22. 31 = 12
LCM :-
Prime factors of 60=22 . 3 . 5
Prime factors of 120=23 . 3 . 5
Prime factors of 288=25 . 32
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 25, 32
Uncommon prime factors: 5
Uncommon prime factors with the greatest exponent: 51
LCM = 25. 32. 51 = 1440
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