Find the HCF and LCM of 75 and 160 by fundamental therom of arithmetic and verify LCM × HCF = product of two numbers
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Hi !
Prime factorization of 75 and 160 :-
75 = 3 × 5²
160 = 2⁵ × 5
HCF = 5
LCM = 5² × 3 × 2⁵
= 2400
HCF × LCM = 5 × 2400 = 12000
Product of two numbers = 160 × 75 = 12000
Hence ,
HCF × LCM = Product of two numbers
Prime factorization of 75 and 160 :-
75 = 3 × 5²
160 = 2⁵ × 5
HCF = 5
LCM = 5² × 3 × 2⁵
= 2400
HCF × LCM = 5 × 2400 = 12000
Product of two numbers = 160 × 75 = 12000
Hence ,
HCF × LCM = Product of two numbers
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