{"id":3290,"date":"2024-03-05T15:47:47","date_gmt":"2024-03-05T15:47:47","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=3290"},"modified":"2024-03-05T15:47:47","modified_gmt":"2024-03-05T15:47:47","slug":"if-h-c-f-of-two-numbers-is-8-then-which-one-of-the-following-numbers-cannot-be-l-c-m-of-those-numbers","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/if-h-c-f-of-two-numbers-is-8-then-which-one-of-the-following-numbers-cannot-be-l-c-m-of-those-numbers\/","title":{"rendered":"If H. C. F. of two numbers is 8, then which one of the following numbers cannot be L. C. M. of those numbers?"},"content":{"rendered":"

[amp_mcq option1=”24″ option2=”48″ option3=”56″ option4=”60″ correct=”option4″]<\/p>\n

The correct answer is (d).<\/p>\n

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. The highest common factor (HCF) of two numbers is the largest number that is a factor of both numbers.<\/p>\n

If the HCF of two numbers is 8, then the LCM of those numbers must be a multiple of 8. However, 60 is not a multiple of 8, so it cannot be the LCM of the two numbers.<\/p>\n

The other options, 24, 48, and 56, are all multiples of 8, so they could be the LCM of the two numbers.<\/p>\n

Here is a table showing the multiples of 8 up to 60:<\/p>\n

Multiple | Number
\n——- | ——–
\n8 | 8
\n16 | 16
\n24 | 24
\n32 | 32
\n40 | 40
\n48 | 48
\n56 | 56
\n60 | 60<\/p>\n

As you can see, 60 is not a multiple of 8, so it cannot be the LCM of the two numbers.<\/p>\n","protected":false},"excerpt":{"rendered":"

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