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Standard VI
Mathematics
Question
The least number divisible by each of the numbers
15
,
20
,
24
,
32
a
n
d
36
is
Open in App
Solution
Verified by Toppr
The least number divisible by each of the numbers
15
,
20
,
24
,
32
and
36
is the LCM of these numbers.
Use prime factorization to find the LCM
First resolve the numbers into prime factors.
15
=
3
×
5
20
=
2
×
2
×
5
=
2
2
×
5
24
=
2
×
2
×
2
×
3
=
2
3
×
3
32
=
2
×
2
×
2
×
2
×
2
=
2
5
36
=
2
×
2
×
3
×
3
=
2
2
×
3
2
Now the least common factor (LCM) is equal to the product of all factors with the highest powers.
L
C
M
=
2
5
×
3
2
×
5
=
1440
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