Table of Contents
What is the relation between HCF and LCM of 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.
What is relation formula to find LCM?
HCF and LCM of two numbers are related to each other as well as with the given numbers. For any two numbers a and b, HCF (a, b) × LCM (a, b) = a × b.
What is product of HCF and LCM?
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.
What is LCM and HCF in math?
LCM (Least Common Multiple): The LCM of two numbers is the smallest positive integer which is divisible by both numbers. HCF (Highest common Factor): HCF is also known as Greatest common divisor, HCF of two numbers is the largest positive integer that divides both the numbers.
How to find the HCF of a given number?
H.C.F. of a given number always divides its L.C.M. To find the greatest number that will exactly divide x, y and z. Required number = HCF of x, y and z To find the Largest number that will divide x, y and z leaving remainders a, b and c respectively. Required number = HCF of (x -a), (y- b) and (z – c)
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.
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.