The two numbers are 160 and 352. Find their HCF by continued division method. Find their LCM by property.

Given: The two numbers are 160 and 352.

To do: Find their HCF by continued division method. Find LCM by property.

Solution:

HCF of 160 and 352 by continued division method

160)352(2

        320

        -----

           32)160(5

                  160

                 ------

                       0

So the HCF of 160 and 352 is 32

By the property of LCM

LCM = Product of numbers/HCF

          =$ \frac{160 \times 352}{32} = 1760$

So LCM of 160 and 352 is 1760.

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Updated on: 10-Oct-2022

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