4MA0 Higher January 2017 Paper 4R Q10
10 \(m = 3^4 \times 5^3\)
\(n = 3^3 \times 5^2 \times 11\)
(a) Find the Lowest Common Multiple (LCM) of \(m\) and \(n\). (2)
(b) Find the Highest Common Factor (HCF) of \(5m\) and \(3n\). (2)
| Scheme | Marks |
|---|---|
| M1 | |
| 111375 | A1 |
| (2) |
Notes
M1: For \(3^a \times 5^b \times 11\) with \(a = 4\) or \(b = 3\)
A1: Accept \(3^4 \times 5^3 \times 11\) oe
| Scheme | Marks |
|---|---|
| M1 | |
| 2025 | A1 |
| (2) | |
| (4 marks) |
Notes
M1: For \(3^4 \times 5^q\) or \(3^p \times 5^2\) (and no 11)
or \(n \times 3^3 \times 5^2\) where \(n \ne 11\)
A1: Accept \(3^4 \times 5^2\) oe