0580.C1.1.09 — Identify and use: find the lowest common multiple (LCM) of two.: past paper questions

Real questions on 0580.c1.1.09 — identify and use: find the lowest common multiple (lcm) of two.

The newest 14 of 14 written questions. Open one to see it on the real paper.

1. 0980/41 · October/November 2024 · Q1a(iii)[2]
   (iii) Find the lowest common multiple (LCM) of $70x^4{y}^2$ and $112x^3{y}^5$.See it on the paper →
2. 0980/32 · May/June 2024 · Q1d[2]
   (d) Find the lowest common multiple (LCM) of 30 and 68.See it on the paper →
3. 0980/12 · May/June 2023 · Q20[3]
   20 Buses at a station go to the port or to the town. Buses leave every 28 minutes for the port. Buses leave every 48 minutes for the town. At 10 18 a bus for the port and a bus for the town leave the station together. Find the next time when a bus for the port and a bus for the town leave the station together.See it on the paper →
4. 0980/11 · October/November 2022 · Q5[1]
   5 Write down a common multiple of 18 and 24.See it on the paper →
5. 0980/31 · October/November 2022 · Q4e[3]
   (e) A train to town $A$ leaves a station every 25 minutes. A train to town $B$ leaves the same station every 45 minutes. Both trains leave at 08 00. Find the next time both trains leave together.See it on the paper →
6. 0980/12 · May/June 2022 · Q21[2]
   21 Find the lowest common multiple (LCM) of 24 and 28.See it on the paper →
7. 0980/42 · May/June 2022 · Q1a[2]
   (a) Find the lowest common multiple (LCM) of $30$ and $75$.See it on the paper →
8. 0980/21 · October/November 2021 · Q5[3]

   3-mark “Complete” question — its maths and diagrams are best seen on the paper.

   See it on the paper →
9. 0980/12 · May/June 2021 · Q23[2]
   23 Work out the lowest common multiple (LCM) of 24 and 54.See it on the paper →
10. 0980/42 · May/June 2021 · Q3c(ii)[2]
    (c) $P=2^5\times 3^3\times 7$ $Q=540$ (ii) Find the lowest common multiple (LCM) of $P$ and $Q$.See it on the paper →
11. 0980/12 · May/June 2020 · Q15[2]
    [Diagram: A trapezium, NOT TO SCALE, with top parallel side $11\text{ cm}$, bottom parallel side $7\text{ cm}$, and a dashed vertical height of $5\text{ cm}$ marked with a right-angle symbol.] Calculate the area of the trapezium.See it on the paper →
12. 0980/12 · May/June 2020 · Q22c[2]
    (c) Find the lowest common multiple (LCM) of 48 and 60.See it on the paper →
13. 0980/31 · October/November 2019 · Q4f[2]
    (f) Find the lowest common multiple (LCM) of 15 and 27.See it on the paper →
14. 0980/12 · May/June 2019 · Q22[3]
    22 Gerry and Alain run around a running track. To run around the track once • Gerry always takes 90 seconds • Alain always takes 105 seconds. They start together at the same point. After how many minutes are they next together at that point?See it on the paper →

What examiners said

If not scoring full marks, most gained a method mark for a correct factor tree or table, or for listing at least the first 3 multiples of both 30 and 68. A significant number of responses set out their table of prime factors comparing the numbers side by side rather than using separate tables for 30 and 68. For some candidates this approach caused arithmetic errors or confusion of which prime fac...

— Examiner report, May/June 2024, 0980/32 Q1(d) (Cambridge)

The best responses used the method of finding the LCM of 28 and 48, giving the answer in terms of either the 12-hour or 24-hour clock. An alternative method was to list the times of the buses leaving the station, but it was rare for the lists of both buses to lead to the correct time. Those using factor trees or tables started well but not many then correctly worked out the required time of day. S...

— Examiner report, May/June 2023, 0980/12 Q20 (Cambridge)

This question did not ask for the lowest common multiple so any common multiple gained credit. The common correct answer was 72, the LCM, but, for example, 144 or 432 (18 × 24) were acceptable answers. There were a number of candidates who gave a common factor of the two numbers so 2, 3 or 6, the HCF, were seen frequently and sometimes, more than one factor was given.

— Examiner report, October/November 2022, 0980/11 Q5 (Cambridge)