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Grade 5 | Maths | Multiples, Factors and Multiples, Olympiad, CBSE, ICSE, Maths Olympiad, Science Olympiad, English Olympiad
The numbers we get by multiplying a given number are called multiples of the given number. These are essentially the numbers found in multiplication table of the number.
The smallest multiple of a number is the number itself. Biggest multiple of a number is very big and can't be determined. Multiples of a number are unlimited.
*Factors of a number are limited and biggest factor of a number is the number itself.
E.g.
Multiples of 6 are 6 X 1, 6 X 2, 6 X 3, 6 X 4 , 6 X 5, 6 X 6 etc.
or we can say 6, 12, 18, 24, 30, 36 etc. are multiples of six.
Common multiples: The multiples which are common between 2 numbers are called multiples. Common multiples of two numbers are infinite.
L.C.M. or lowest common multiple: The lowest number between the common multiples of two numbers is called the L.C.M. of two numbers.
E.g.
Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72 etc
Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96 etc
24, 48 and 72 and so on are common multiples of 6 and 8. 24 is the lowest common multiple so it is the L.C.M. of 6 and 8.
Imp Concept:
Rules of divisibility
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