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Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF ? |
60 69 75 57 |
69 |
The ratio of the three numbers is 3 : 8 : 15 Let the numbers be 3x, 8x, and 15x Here x is their HCF LCM of 3x, 8x, and 15x = 120x According to the question, 120x = 8280 ⇒ x = \(\frac{8280}{120}\) ⇒ x = 69 So, the HCF of the numbers is 69
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