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How do you find the other number if HCF LCM and one number?

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How do you find the other number if HCF LCM and one number?

Answer: HCF × LCM = product of the two numbers.

How do you find the third number when HCF and LCM are given?

Since the HCF is 3, the 3rd Number has to be 3x. LCM of 15 and 36 is 180 and the LCM of 15, 36 and 3x is 720, which is 4 times 180. If we just take x as 4, the LCM of 15, 36 and 3*4=12, the CM is still 180 and therefore x has to be 16 or more (we will see what more is).

How do you find HCF when given LCM and product?

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For example: Find HCF and LCM of 9 and 12. And verify HCF × LCM = Product of the two numbers. Product of 9 and 12 = 9 x 12 = 108. Hence, HCF(9, 12) × LCM(9, 12) = Product of 9 and 12.

How do you find H.C.F when given LCM and product?

What is the relation between H.C.F LCM and given two numbers?

So there is an interesting co-relation between H.C.F and L.C.M. of two numbers. The product of the H.C.F. and L.C.M. of any two numbers is always equal to the product of those two numbers. However the same is not applicable to three or more numbers.

How do you find HCF if product of two numbers and LCM?

How do you find two numbers with HCF and LCM?

The formula that shows the relationship between their LCM and HCF is: LCM (a,b) × HCF (a,b) = a × b. For example, let us take two numbers 12 and 8. Let us use the formula: LCM (12,8) × HCF (12,8) = 12 × 8. The LCM of 12 and 8 is 24; and the HCF of 12 and 8 is 4.

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How are HCF and LCM are related to two numbers?

Co-relation between HCF and LCM The product of the H.C.F. and L.C.M. of any two numbers is always equal to the product of those two numbers.

How do you find HCF when given LCM?

How do you find the HCF and LCM?

Verify LCM and HCF is equal to the product of two numbers. The least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers. The highest common factor of two numbers is the highest possible number which divides both the numbers completely.

How to find least common multiple?

First,write the numbers,separated by commas

  • Now divide the numbers,with the smallest prime number.
  • If any number is not divisible,then write down that number and proceed further
  • Keep on dividing the row of numbers by prime numbers,unless we get the results as 1 in the complete row
  • Now LCM of the numbers will equal to the product of all the prime numbers we obtained in division method
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    How do you find the least common multiple?

    To find the least common multiple of two numbers, factor the two numbers, noting the frequency of the prime factors, and then multiply the most repeated factors together. Perform division to check your answer when complete.

    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.

    • What is the least common multiple of 10 and 12?

    Least Common Multiple of 10 and 12. Least common multiple (LCM) of 10 and 12 is 60. LCM(10,12) = 60.