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Can two numbers have 10 as their HCF and 300 as their LCM? Give reason |
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Answer» Yes, we can have 10 as HCF and 300 as LCM of any two natural numbers. This is explained as follow :- In MATHEMATICS, there is a rule that thej HCF of any two number must be a factor of LCM or LCM must be a multiple of HCF. i.e. LCM ÷ HCF gives REMAINDER zero If this is not satisfied then the given condition is wrong. e.g. Two numbers can have 12 as LCM and 4 as HCF because 12 is DIVISIBLE by 4 while two numbers cannot have 16 as LCM and 3 as HCF because 3 is not factor of 16. Now in the question HCF is a factor of LCM i.e. 10 is a factor of 300 Hence two numbers can be exist i.e. real number because it satisfy the condition. |
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