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Byju's Answer
Standard X
Mathematics
Product of Two Numbers = HCF X LCM of the Two Numbers
If HCF of 52 ...
Question
If HCF of 52 and 182 is 26, find their LCM.
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Solution
We know that
L
C
M
(
a
,
b
)
×
H
C
F
(
a
,
b
)
=
a
×
b
.
Let
a
=
52
,
b
=
182
and
H
C
F
(
a
,
b
)
=
26
, then the
L
C
M
of
a
and
b
is:
L
C
M
(
a
,
b
)
×
26
=
52
×
182
⇒
26
L
C
M
(
a
,
b
)
=
9464
⇒
L
C
M
(
a
,
b
)
=
9464
26
=
364
Hence,
L
C
M
of
52
and
182
is
364
.
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Q.
Given that
L
C
M
(
91
,
26
)
=
182
, then
H
C
F
(
91
,
26
)
is:
Q.
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Find the LCM and HCF of 26, 91 and verify that LCM
×
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Product of Two Numbers = HCF X LCM of the Two Numbers
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