Mathematics for IGCSE & O level - Number (Section 1 - No. 50)
If the LCM of two numbers is 36 and their HCF is 6, which of the following pairs could be the two numbers?
6 and 12
12 and 18
18 and 24
24 and 36
Explanation
The product of the LCM and HCF of two numbers is equal to the product of the two numbers. Check the answer choices to see which pair has a product equal to (36 x 6 = 216). 6 x 12 = 72, so 6 and 12 are not the correct answer. Since 6 and 12 satisfy the other constraints, the correct answer is 6 and 12, which have an HCF of 6 and an LCM of 12.
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