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Step-by-step explanation:
Answer:
Value of n = 2
Step-by-step explanation:
a = 2³ × 3¹
b = 2¹ × 3¹ × 5¹
c = 3ⁿ × 5¹
LCM = 2³ × 3ⁿ × 5 ----(1)
/* Product of the smallest power of each common prime factor of the numbers */
LCM = 2³ × 3² × 5 ----(2)[given]
Now , compare (1) & (2) , we get
n = 2
••
Here n = 2
L.C.M :-
L.C.M is the product of the greatest
power of each prime factors of the
numbers ...
Case 1 :-
here the power of 3 is 1
Case 2 :-
here also the power of 3 is 1
Case 3 :-
here the power of 3 is n
But the L.C.M is
here the 3 has power 2
and case 1 and 2 the power is only 1
So, n should be " 2 "
☯️ I hope it helps you....