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What is the relationship between HCF and LCM?

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What is the relationship between HCF and LCM?

The relationship between HCF and LCM for two numbers is defined by the HCF and LCM formula given by: If in case you take the two numbers as m and n, then the HCF and LCM formula states that as below: Using the given above formulas, you can calculate the HCF or LCM if you know one of them and the two numbers. How to find HCF and LCM?

What is the LCM of 12 and 18 using long division?

Example: LCM of the numbers 12 and 18. So, after performing the long division method, you get the LCM of the number 12 and 18 = 2 × 3 × 2 × 3 = 36 LCM and HCF with Co-prime Numbers LCM of the Co – Prime numbers (m, n) = product of two numbers (m, n)

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What is the LCM of two numbers?

Lowest Common Factor (LCM) Definition: LCM stands for Lowest or Least Common Multiple. In other words, the LCM of two or more numbers is the smallest positive integer divisible by all the given numbers. Example: Consider this as an example; the LCM of 12 and 15 is 60.

What is the sum of two co-prime numbers whose sum is 7?

Now think 2 such co-prime numbers whose sum is 7 and LCM is 12. They are 3 & 4 of course. But the HCF of the given numbers is 4 (given); so multiply these prime numbers by the HCF i.e. 4 (here) to find the smaller number & the greater number as it has been asked.

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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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How do you find the HCF of two fractions?

For two fractions, HCF = HCF (Numerators) / LCM (Denominators) LCM = LCM (Numerators) / HCF (Denominators) A natural number , greater than 1, can always be written as sum of greatest common divisor (gcd) and lowest common multiple (lcm) of two natural numbers , i.e. , x=gcd (a,b)+lcm (a,b). Let’s prove it.

https://www.youtube.com/watch?v=L9B1etHvCJ0