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Is the product of 3 numbers always equal to the product of their HCF and LCM?

Posted on February 28, 2020 by Author

Table of Contents

  • 1 Is the product of 3 numbers always equal to the product of their HCF and LCM?
  • 2 What is the product of three number?
  • 3 What is LCM product?
  • 4 Is the product of three odd numbers is odd?
  • 5 What is HCF and LCM product?
  • 6 Where is LCM and HCF used?
  • 7 How do you find the product of two numbers?
  • 8 What is the HCF and lcm of 4 and 8?

Is the product of 3 numbers always equal to the product of their HCF and LCM?

no the product of three numbers will never equal to the product of their hcf and lcm.

What is the product of three number?

So, we can see that the product of three numbers is equal to the product of their GCD and LCM.

Is the product of two numbers always equal to the product of their HCF and LCM?

The product of the HCF and LCM of two numbers is equal to the product of the two numbers.

What is the product of two numbers equal to?

The product of two numbers is the result you get when you multiply them together. So 12 is the product of 3 and 4, 20 is the product of 4 and 5 and so on.

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What is LCM product?

LCM = Product of the greatest power of each prime factor, involved in the numbers. HCF = Product of the smallest power of each common prime factor in the numbers.

Is the product of three odd numbers is odd?

The product of three odd numbers is odd. If an even number is divided by 2, the quotient is always odd. All prime numbers are odd. Prime numbers do not have any factors.

Is it true that product of 3 consecutive?

Yes. If you have 3 consecutive natural numbers, then at least 1 of them must be divisible by 2, and 1 of them must be divisible by 3. Thus their product must always be divisible by 2×3=6.

Is the product of two numbers equal to their least common multiple?

When the GCF of two numbers is 1 , the LCM is equal to the product of the two numbers.

What is HCF and LCM product?

The product of LCM and HCF of any two given natural numbers is equivalent to the product of the given numbers. LCM × HCF = Product of the Numbers. Suppose A and B are two numbers, then. LCM (A & B) × HCF (A & B) = A × B. Example: If 3 and 8 are two numbers.

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Where is LCM and HCF used?

What are Applications of LCM and HCF. To split things into smaller sections. To equally distribute any number of sets of items into their largest grouping. To figure out how many people we can invite.

What is the product of 3 odd numbers?

odd
(iii) The product of three odd numbers is odd. (iv) If an even number is divided by 2, the quotient is always odd. (v) All prime numbers are odd. (vi) Prime numbers do not have any factors.

How do you find the product of LCM and HCF?

(i) The product of LCM and HCF of the given natural numbers is equivalent to the product of the given numbers. Consider two numbers A and B, then. (ii) The LCM of given co-prime numbers is equal to the product of the numbers since the HCF of co-prime numbers is 1. Example 2: 17 and 23 are two co-prime numbers.

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How do you find the product of two numbers?

Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers) Say, A and B are the two numbers, then as per the formula; A x B = H.C.F.

What is the HCF and lcm of 4 and 8?

HCF of any two or more numbers is never greater than any of the given numbers. Here, one number is 4 itself and another number 8 is greater than HCF (4, 8), i.e.,4. LCM of any two or more numbers is never smaller than any of the given numbers.

What is the HCF and lcm of 25 35 and 45?

From the above expression, we can say 5 is the only common factor for all the three numbers. Therefore, 5 is the HCF of 25, 35 and 45. Example: Find the Least Common Multiple of 36 and 44. Solution: Given, two numbers 36 and 44. Let us find out the LCM, by division method.

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