What is the relation between HCF and LCM Class 10?

What is the relation between HCF and LCM Class 10?

(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.

What is the relationship between LCM HCF and product of two numbers?

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

How do you do LCM in maths?

Find the least common multiple (LCM) of two numbers by listing multiples

  1. List the first several multiples of each number.
  2. Look for multiples common to both lists.
  3. Look for the smallest number that is common to both lists.
  4. This number is the LCM.
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How do you find the HCF and LCM by division method?

Step 1: Divide the largest number by the smallest number. Step 2: Take divisor as new dividend and remainder as the new divisor, i.e. divide the first divisor by the first remainder. Step 3: Proceed till the remainder is zero and the last divisor will be the HCF of the given numbers. Therefore, HCF of 24 and 15 is 3.

What is the difference between a LCM and a HCF?

Concept of LCM,HCF important for number theory and remainder based problems (generally asked in SSC CGL,CAT.)

  • LCM is important for time and speed,time and work problems.
  • LCM is also important for circular racetracks,bells,blinking lights,etc.
  • HCF is important for largest size of tiles,largest size of tape to measure a land etc.

    • What is the relation between LCM and HCF?

    Conclusion: The product of the HCF and LCM of two numbers is the same as the product of the numbers themselves. Views · View 5 Upvoters. , works at V5 Systems (2017-present) HCF of few(lets consider 2 for now) numbers is nothing but a maximum number which can divide all the numbers with reminder being zero.

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    What is the physical meaning of LCM and HCF?

    The H.C.F . defines the greatest factor present in between given two or more numbers, whereas L.C.M. defines the least number which is exactly divisible by two or more numbers. H.C.F. is also called the greatest common factor (GCF) and LCM is also called the Least Common Divisor.

    How to calculate HCF?

    Write down each number as the product of its prime factors.

  • Now,list down the common factors from the given numbers.
  • The largest number,which is found in the common factors is the HCF of the given numbers.

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