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What two numbers have a HCF of 6 and a LCM of 60?

Posted on September 2, 2022 by Author

What two numbers have a HCF of 6 and a LCM of 60?

If a and b are the two numbers, then HCF * LCM = 6*60 = 360 = ab. So the numbers could be 6 and 60 or 12 and 30.

What 2 numbers have a LCM of 60?

The two numbers are 5 and 12 .

What 2 numbers have the HCF of 6?

Since their HCF is 6, let the numbers be 6m and 6n. Out of which only the pair (3,4) is coprime. Hence, the numbers are : 18 and 24.

How do you find two numbers then HCF and LCM are given?

Relationship between H.C.F. and L.C.M.

  1. or, L.C.M. = First Number×Second NumberH.C.F.
  2. or, L.C.M. = Product of Two Given NumbersH.C.F.
  3. or, H.C.F. = Product of Two Given NumbersL.C.M.

What is the LCM of 6?

LCM of 6 and 8 is the smallest number among all common multiples of 6 and 8. The first few multiples of 6 and 8 are (6, 12, 18, 24, 30, 36, 42, . . . ) and (8, 16, 24, 32, . . . )…LCM of 6 and 8.

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1. LCM of 6 and 8
2. List of Methods
3. Solved Examples
4. FAQs

What is the HCF of 6 and 8?

The HCF of 6 and 8 is 2. To calculate the Highest common factor of 6 and 8, we need to factor each number (factors of 6 = 1, 2, 3, 6; factors of 8 = 1, 2, 4, 8) and choose the highest factor that exactly divides both 6 and 8, i.e., 2.

What are the multiples of 6?

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, …

Can two numbers have 6 as their HCF and 26 as their LCM?

Answer: no, because a LCM is always divisible by HCF in a whole number form….

Can 6 and 15 be the HCF and LCM of two numbers?

So, There is no two number whose HCF is 6 and LCM is 15. LCM is always divisible by HCF. So LCM/HCF = 640/32 = 20.

Can two numbers have same HCF and LCM?

LCM and HCF of two numbers are the same. Therefore, the two numbers are the equal. So, the correct answer is “Option D”.

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What is the product of HCF and lcm of two numbers?

The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves. If a and b are the two numbers, then HCF * LCM = 6*60 = 360 = ab. So the numbers could be 6 and 60 or 12 and 30. So their GCF (greatest common factor, or highest common factor as you wrote) is 6 and their LCM is 60.

What is the GCF and lcm of 6 and 60?

Let numbers be 6a & 6b where a & b are co-prime. So their GCF (greatest common factor, or highest common factor as you wrote) is 6 and their LCM is 60. This would imply we need two numbers that multiply evenly into 60. I know there is a proper way to figure this out, but I guessed and thought of 6 and 10.

What is the HCF of two numbers?

HCF of two numbers is 6. LCM of same numbers 72. What are two numbers? – Mathematics Stack Exchange HCF of two numbers is 6. LCM of same numbers 72. What are two numbers? [closed] Closed. This question is off-topic. It is not currently accepting answers. Want to improve this question?

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What is the LCM of 12 and 30?

The numbers could be 12 and 30, or they could be 6 and 60. LCM is 60. That means numbers divide 60. Since HCF is 6 the numbers are multiple of 6. Numbers which are multiple of 6 and divide 60 are only 12 and 30. You can try this on several other such questions too and I think it will apply on 99.9\% questions.

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