Question

Three strings are of length 120 cm 136 and 160 cm if there strings are to be cut into smaller pieces of equal length what is the length of the longest string be possible

Answer 1

Answer:

Step-by-step explanation:

This can be obtained by taking LCM of the three numbers

2|120,136,160

------------------------

2|   60,68,80

--------------------------

2|     30,34,40

-----------------------

5|15,17,20

_-----------------

  3,17,4

SO LCM is 2*2*2*5*17*3*4=40*12*17=8160

Answer 2

Given: Length of string 1 = 120cm

Length of string 2 = 136 cm

Length of string 3 = 160 cm

To Find: Length of the longest string if the strings are cut into smaller pieces of equal length.

Solution:

The length of the longest possible piece so that the strings can be cut into equal pieces will be the highest common factor(HCF) of the lengths of the strings.

Let us factorize these:

120 = 2 x 3 x 2 x 5 x 2

136 = 2 x 2 x 3 x 11

160 = 2 x 2 x 2 x 2 x 5 x 2

HCF = Multiplication of common factors of all three

HCF = 2 x 2 x 2

        = 8

Therefore, 8 cm will be the length of the largest possible piece if the three strings are cut into smaller pieces of equal length.