If the lcm of two numbers is 280 and their hcf is 14 then the two numbers are

Answers 1

Answer:

Hence, the other number is 80.

Explanation:

LCM × HCF = Product of two numbers ..eq(1) Here, one of the number is given, i.e., 280.

Let the other number be x.

Now, LCM of two numbers = 14 × HCF of two numbers …eq(2)

LCM + HCF = 600

14HCF + HCF = 600 [ from eq(2) ]

15 HCF = 600

HCF = 40

Now, LCM =14HCF [ from eq(2) ]

LCM = 14 × 40 = 560

Now, from eq (1)

560 × 40 = x × 280

280x = 22400

x = 22400/280 = 80

Hence, the other number is 80.

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