Christmas Bells: If all the bells ring together at noon, at what time will they next all ring together? This problem requires the use of LCM.
Dancing: Work out how many people were at the dance from the clues given.
Hotel Digital: A puzzle about the lifts in a hotel which serve floors based on the day of the week.
Name Again: Work out what the nth letter will be in a recurring pattern of letters in a person's name
LCM Advanced Starters:
Transum Tonic: What is the largest number of bottles that it is not possible to buy if they come in packs of 6, 9, and 20?
Curriculum for LCM:
Pupils should be taught to identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers more...
Pupils should be taught to solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes more...
Pupils should be taught to use common factors to simplify fractions; use common multiples to express fractions in the same denomination more...
Pupils should be taught to identify common factors, common multiples and prime numbers more...
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LCM stands for lowest common multiple or least common multiple. The LCM of two (or more numbers) is the smallest number that both of the numbers divide into exactly. Being able to find the LCM is useful when trying to find a common denominator when adding two fractions together. The LCM also describes the points when two (or more) periodic repetitions coincide.
Factor Trees: Create factor trees to find the prime factors of the given numbers.
HCF and LCM: Practise finding the highest common factor (H.C.F), sometimes called the greatest common divisor, and the lowest common multiple (L.C.M) of two numbers.
HCF and LCM explained: This video from Mathsmaster.org shows very clearly the step by step method of finding the LCM and HCF of two numbers.
HCF and LCM explained part 2: This video from Mathsmaster.org shows very clearly the step by step method of finding the LCM and HCF of two numbers using Prime Factorisation.
Divided Age Worksheet: Additional questions for the 6th December Starter of the Day about the decimal part of quotients.
LCM External Links:
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