Question

show the relationship of the following numbers with their HCF and LCM 24and 56​

Answer 1

i think you would understand it

Answer 2

Answer:

Product of the numbers = (HCF x LCM) of the numbers

Step-by-step explanation:

Given that, Two Numbers are 24 and 56.

24 = 2 x 2 x 2 x 3    [Prime factors of 24]

56 = 2 x 2 x 2 x 7    [Prime factors of 56]

∴HCF of the numbers 24 and 56 is = 2 x 2 x 2 = 8 [HCF is the  product of common factors between the numbers]

∴LCM of the numbers 24 and 56 is = 2 x 2 x 2 x 3 x 7 = 168  [LCM is the product of common factors and the other remaining factors of the numbers]

∴Product of the two numbers = 24 x 56 = 1344.

∴ Product of the HCF and LCM of the numbers = 168 x 8 = 1344  

Hence, Product of the numbers = Product of HCF and LCM of the numbers.

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