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Multiple

Multiple is a term used in mathematics to describe numbers produced by multiplying a fixed integer by any integer. If a is a nonzero integer, then every number of the form n × a (with n any integer) is a multiple of a. The set of multiples of a is ..., -2a, -a, 0, a, 2a, 3a, ... For example, the multiples of 4 are 0, 4, 8, 12, 16, and so on. The concept can be extended to positive multiples when n is positive.

Common uses include assessing divisibility and finding common multiples. The least common multiple (LCM) of a

Determining whether a number is a multiple of another means dividing yields no remainder; equivalently, the

Beyond mathematics, multiple has everyday uses. In ordinary language, it means more than one or many. The

set
of
integers
is
the
smallest
positive
integer
that
is
a
multiple
of
each
of
them;
it
is
used
to
find
common
denominators
in
fractions,
to
synchronize
periodic
events,
and
as
a
component
of
algorithms
such
as
those
for
simplifying
fractions.
The
LCM
can
be
computed
via
prime
factorization
or
via
the
relationship
with
the
greatest
common
divisor
(gcd).
larger
number
is
in
the
respective
multiples
sequence.
For
example,
21
is
a
multiple
of
3
because
21
÷
3
=
7,
whereas
22
is
not
a
multiple
of
3.
word
describes
quantities,
events,
or
items
that
occur
in
several
instances,
and
it
is
related
to
the
general
concept
of
plurality
in
grammar
and
linguistics.
The
term
is
also
used
in
other
fields
to
indicate
repetition
or
multiplicity
of
parts
or
components.