Question

27. Using prime factorisation, find HCF and LCM of 18, 45 and 60. Check if HCF X LCM
= product of the numbers.​

Answer 1

Step-by-step explanation:

given in the displayed picture

Answer 2

Product of the numbers ≠ Product of HCF and LCM.

• Using prime factorisation the factors of the numbers are

18 = 2×3×3

45=3×3×5

60=2×2×3×5

• Now , to find the HCF of numbers we find the common factors in the above numbers and multiply them.

• 3 is the only number common in all the factors of the three numbers.

• HCF of 18,45 and 60 is 3.

• Now to find the LCM see the figure below.

LCM  = 3×2×3×5×2 = 180.

• Now the product of numbers = 18×45×60 = 48600

• Product of HCF and LCM = 180×3 = 540

• Product of numbers ≠ product of HCF and LCM.