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CBSE Class 10 Answered

Q) The number which is perfect square and is divisible by each of 16,20,24 is a) 240 b)1600 c)2400 d)3600
Asked by arindeep.singh | 22 Dec, 2020, 10:57: PM
answered-by-expert Expert Answer
P r i m e space f a c t o r i s a t i o n space
16 equals 2 to the power of 4
20 equals 2 squared cross times 5
24 equals 2 cubed cross times 3
L C M equals 2 to the power of 4 cross times 3 cross times 5
F o r space t h e space n u m b e r space t o space b e space p e r f e c t space s q u a r e space w e space n e e d space t h e space e v e n space p o w e r s space f o r space 3 space a n d space 5 space t o o
H e n c e space t h e space n u m b e r space w o u l d space b e equals 2 to the power of 4 cross times 3 squared cross times 5 squared equals 3600
Answered by Utkarsh Lokhande | 24 Dec, 2020, 01:57: PM
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