LCM of 10 35 40 using division method
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Step-by-step explanation:
Solution :
Given numbers are 10 , 35 , 40.
Finding HCF by prime factorisation
method :
10 = 2 × 5
35 = 5 × 7
40 = 2 × 2 × 2 × 5 = 2³ × 5
HCF = 5
[ product of least powers of common
prime factors ]
Division Method :
10 ) 35 ( 3
*****30
_______
*******5 )10(2
**********10
___________
************( 0 )
Therefore ,
HCF( 10,35 ) = 5
Now , we have to find HCF ( 5, 40 )
5 ) 40 ( 8
****40
_______
*****( 0 )
HCF( 5 , 40 ) = 5
THEREFORE ,
HCF( 10, 35 , 40 ) = 5
*****
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