- 522
- 511
- 514
- 504

Option 2 : 511

**Given:**

Number when divided by 56 and 72 leaves remainder 7 in each case.

**Concept Used:**

The least number that leaves remainder 'k' when divided by numbers 'a' and 'b' is given as,

Least Number = (LCM of a and b) + k

**Calculation:**

Here we have the factors of 56 and 72 as,

56 = 2^{3} × 7

72 = 2^{3} × 9

So, the LCM of 56 and 72 = 2^{3} × 7 × 9

⇒ 504

So, the least number that when divided by 56 and 72 leaves remainder 7 in each case = 504 + 7

⇒ 511

**∴ The least number that when divided by 56 and 72 leaves the remainder 7 in each case is 511.**

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