Foundation November 2019 Paper 1 Q20
20 Find the Lowest Common Multiple (LCM) of 108 and 120 (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 1080 | M1 | for method to write one number as a product of prime factors (condone one division error in method chosen), eg. one complete factor tree or 2, 2, 3, 3, 3 or 2, 2, 2, 3, 5 or for listing at least 5 multiples of either number (condone one error) or for any common multiple (\(\neq 1080\)), eg. 12960 (\(= 108 \times 120\)) |
| M1 | for method to write both numbers as a product of prime factors (condone a total of one division error) eg. two complete factor trees or 2, 2, 3, 3, 3 and 2, 2, 2, 3, 5 or lists of multiples of the two numbers, at least 5 of each, one of which includes 1080 | |
| A1 | cao | |
| SC B2 for any product that would lead to 1080, eg \(2^3 \times 3^3 \times 5\) or \(12 \times 9 \times 10\) |
Additional guidance
Accept first 5 multiples if all correct or one error in first 6 multiples
For the list not containing 1080, accept first 5 multiples if all correct or one error in first 6 multiples