16, 24, 36 ,Find g.c.d. and L.c.m.
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lcm= 144 and gcd is 4
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Solution :
Given Numbers are 16,24, 36.
Resolving the numbers into product
of prime,
16 = 2⁴ ,
24 = 2³ × 3
36 = 2² × 3²
HCF( 16,24,36) = 2² = 4
[ Since , Product of the smallest
power of each common factors
of the numbers ]
LCM( 16,24,36 ) = 2⁴ × 3²
= 16 × 9
= 144
[ Product of the greatest power
of each prime factors of the
numbers ]
••••
Given Numbers are 16,24, 36.
Resolving the numbers into product
of prime,
16 = 2⁴ ,
24 = 2³ × 3
36 = 2² × 3²
HCF( 16,24,36) = 2² = 4
[ Since , Product of the smallest
power of each common factors
of the numbers ]
LCM( 16,24,36 ) = 2⁴ × 3²
= 16 × 9
= 144
[ Product of the greatest power
of each prime factors of the
numbers ]
••••
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