Question

Find the smallest number which on adding 13 to it is exactly divisible by 42,70

Answer 1

Gívєn :

Find the smallest number which on adding 13 to it is exactly divisible by 42,70.

Sσlutíσn :

42 = 2× 3×7

72= 2×2×2×3×3

$\sf \implies \: lcm(42 \: and \: 72) = 2 {}^{3} \times 3 {}^{2} \times 7 {}^{1} = 504$

We have to find the smallest number which when added to 10 is exactly divided by given numbers.

so, we will subtract 10 from the LCM.

$\sf \implies \: 504 - 10 = 494$

Therefore,

Required no = 504

Answer 2

Gívєn :

Find the smallest number which on adding 13 to it is exactly divisible by 42,70.

Sσlutíσn :

• 42 = 2× 3×7
• 72= 2×2×2×3×3

$\sf \implies \: lcm(42 \: and \: 72) = 2 {}^{3} \times 3 {}^{2} \times 7 {}^{1} = 504$

• We have to find the smallest number which when added to 10 is exactly divided by given numbers.

so, we will subtract 10 from the LCM.

$\sf \implies \: 504 - 10 = 494$

Therefore,

Required no = 504