Question

Find the smallest number which when added to 5 is exactly divisible by 12,16, and 18
Give me fastly

Answer 1

hye

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aim :we have to Find the smallest number which when added to 5 is exactly divisible by 12,16, and 18

=>first let us find the lcm of 12 ,16 and 18

=>12 =2*2*3

=>16 = 2*2*2*2

=>18 = 2*3*3

lcm = 2*2*2*2*3*3

         = 144

now we now that 144 is divisible by 12,16 and 18

=> now we Find the smallest number which when added to 5 is exactly divisible by 12,16, and 18

=>144 - 5

=>139

∴139 is the smallest number which when added to 5 is exactly divisible by 12,16, and 18

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hope it help helps u..........