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Byju's Answer
Standard X
Mathematics
Method of Finding HCF
Find the LCM ...
Question
Find the LCM and HCF of the following integers by applying the prime factorisation method.
(i)
12
,
15
and
21
(ii)
17
,
23
and
29
(iii)
8
,
9
and
25
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Solution
Using prime factorisation method:
(i) 12, 15 and 21
Factor of
12
=
2
×
2
×
3
Factor of
15
=
3
×
5
Factor of
21
=
3
×
7
HCF
(
12
,
15
,
21
)
=
3
LCM
(
12
,
15
,
21
)
=
2
×
2
×
3
×
5
×
7
=
420
(ii) 17, 23 and 29
Factor of
17
=
1
×
17
Factor of
23
=
1
×
23
Factor of
29
=
1
×
29
HCF
(
17
,
23
,
29
)
=
1
LCM
(
17
,
23
,
29
)
=
1
×
17
×
23
×
29
=
11
,
339
(iii) 8, 9 and 25
Factor of
8
=
2
×
2
×
2
×
1
Factor of
9
=
3
×
3
×
1
Factor of
25
=
5
×
5
×
1
HCF
(
8
,
9
,
25
)
=
1
LCM
(
8
,
9
,
25
)
=
2
×
2
×
2
×
3
×
3
×
5
×
5
=
1
,
800
Suggest Corrections
5
Similar questions
Q.
Find the LCM and HCF of the following integers by applying the prime factorisation method:
(i)
12
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and
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(ii)
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(iii)
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and
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(v)
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Q.
Question 3 (ii)
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Q.
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Method of Finding HCF
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