LCM and HCF Worded

Find the LCM of 12 and 16...

• 48

• 36

• 64

• 96

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

• HCF

• LCM

The least common multiple of 12, 30, and 40 is…

• 40

• 60

• 120

• 160

The highest common factor of 28, 42, and 76 is….

• 14

• 7

• 4

• 2

Find the HCF for 18, 36, and 81

• 3

• 2

• 6

• 9

Sophie checks her bike for repairs every 9 days and Susan check hers every 12 days. If they both check their bikes today, after how many days do they next both check their bike again?

• HCF

• LCM

Tom and Claire both like do short exercise that involve small breaks. Tom does a short burst of exercise every 2 minutes, and Claire does hers every 3 minutes. If they start doing their exercise at 9:00am, when do they both do their exercises again?

• HCF

• LCM

Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how long will they wait before they can have both during the same appointment?

• HCF

• LCM

There are two loaf cakes. One is 35cm long and one is 21cm long. They want to cut the cake up and sell the slices, but all the slices must be equal. What is the largest slices that they can cut them into?

• HCF

• LCM

A carpenter got given some free wooden planks. Some are 12m long and some are 18m long. She wants to cut them up so that she has equal size planks to make using them easier. What size planks should she cut them into to avoid wasting any wood?

• HCF

• LCM