Find the LCM and HCF of the following: (i) 25 × 54 × 72 × 136 and 23 × 56 × 7 × 173 (ii) a5 × b2 × c2 × d5 and a7 × b3 × e × f3 where a, b, c, d, e, and f are prime
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Step-by-step explanation:
I) 72= 2*2*2*3*3
56= 2*2*2*7
98= 2*7*7
HCF :
2(common in all the three)
LCM :
2*2*2*7 =56
2*2*2*3*3=63
56*63 = 3528
lcm = 3529
2). let's find hcf first
in both the numbers take the common, that is A and B are common with a^5 and b^2
HCF = a^5 and b^ 2
now,
let's find lcm
prime numbers in above numbers are ;
a, b, c, d e, f
highest number : a^7,b^3,c^2,d^5,e^1,f^3
lcm = a^7,b^3,c^2,d^5,e^1,f^3
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