Question

The product of two two-digit numbers is 765 and their HCF is 3. What is their LCM? [1 Mark]
<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}-->

Answer 1

Here, HCF = 3, Product of the given numbers = 765

Now, HCF x LCM = Product of the given numbers

∴ 3 x LCM = 765 [0.5 Marks]

∴ LCM = <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> $\frac{76}{53}$= 255

∴ The LCM of the two two-digit numbers is 255. [0.5 Marks]