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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?
For integers x, y and z, LCM(x,y) is x and LCM(y,z) is y, then find the LCM(x,y,z).
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?
If X, Y and Z are three numbers, such that LCM of X and Y is X and LCM of Y and Z is Y, then find the HCF of X, Y and Z.
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answer. Quantity A: The LCM of two numbers is 40 times their HCF. The sum of the LCM and HCF is 1,476. If one of the numbers is 288, find the sum of digits of other number? Quantity B: A vendor has 748 oranges, 408 apples and 952 mangoes. If he packs the fruits into crates with an equal number of fruit without mixing them, what is the sum of digits of minimum number of crates required?
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?