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Can two numbers have 15 as their HCF and 200 as their LCM ? explain
Solution:
In order for two numbers to have an HCF of 15, they both must have factors of 3 and 5. Therefore, the LCM (320) must also include at least one factor of 3 and one factors of 5.
The prime factorization of 200 is 2$\times$2$\times$2$\times$5$\times$5.
Since 200 does not have a factor of 3:
Answer: NO
Updated on: 10-Oct-2022
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