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Factors of a Number

if LCM(a,b)=4...

Question

if LCM(a,b)=450,LCM(b,c)=450,LCM(c,a)=150 ,LCM(a,b,c)=450 and HCF(a,b,c)=15,then productof a,b and c

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H C F (a, b) = 15

L C M (a, b) = 1800

a = 30

b

Q. a, b, c, d and e are integers such that

1 \leq a < b < c < d < e

. If a, b, c, d and e are geometric progression and lcm (m, n) is the least common multiple of m and n, then maximum value of

\frac{1}{l c m (a, b)} + \frac{1}{l c m (b, c)} + \frac{1}{l c m (c, d)} + \frac{1}{l c m (d, e)}

Q. For any two positive integers

a

b,

H C F (a, b) \times L C M (a, b) = a + b .

Q. Find the value of a, b and c if

450 = 2^{a} \times 3^{b} \times 5^{c}

Q. Find the HCF and LCM of the pairs of integers and verify that

L C M (a, b) \times H C F (a, b) = a \times b

125

55

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