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Consider the following in respect of natural numbers a, b and c: 1. LCM(ab, ac) = a × LCM(b, c) 2. HCF(ab, ac) = a × HCF(b, c) 3. HCF (a, b) < LCM(a, b) 4. HCF(a, b) divides LCM(a, b) Where, a ≠ b ≠ c  Which of the above are correct?
State whether the given statement is True or False. LCM (a, b, c, d) = LCM(a,(LCM(b,(LCM(c, d)))).
Out of three numbers A, B, and C, A is the largest number, and the ratio of B to C is 4 : 5. If HCF of A and B is 16, LCM of B and C is 240, and LCM of A and B is 192, then what is the LCM of A, B, and C?
The ratio of the value of A to that of B is 7 : 9 and B is 20 more than C. If LCM of A and B is 315, then what is the difference between LCM of A and C and LCM of B and C?
For integers x, y and z, LCM(x,y) is x and LCM(y,z) is y, then find the LCM(x,y,z).
HCF and LCM of two numbers P and Q are 16 and 560 respectively and when 8 is added to P and 20 is added to Q, then HCF and LCM become 20 and 600 respectively, then what is the ratio of the value of P to Q? Assume both P and Q are more than 50.
There are two distinct numbers A and B of which A is larger. If LCM and HCF of A and B are 525 and 15 respectively and their LCM is 7 times that of B, then what is the HCF of A and B when 5 is added to both A and B?
There are two numbers A and B (A > B) of two-digits each and their HCF is 18. If LCM and HCF of B and 45 are 270 and 9 respectively and the difference between digits of A is 5, then what is the LCM of A and B?
Two positive numbers A and B are equidistant from 56 and HCF and LCM of A and B is 16 and 192 respectively, then what can be the difference between LCM and HCF of A and 56?
There are two numbers A and B and the sum of the square of both the numbers is 2197 and the multiplication of LCM and HCF of both the numbers is 1014, then LCM of A and B is how much times of their HCF?