The LCM of $$2^3×3^2×5, \ 2^2×5^2×7$$​ and $$3^3×5^2×7^2$$​ is:

Correct option is D

given:

​$$2^3×3^2×5,2^2×5^2×7$$ and $$3^3×5^2×7^2$$

Solution:

​We have been given three expressions representing three numbers as the product of their prime factors.

= $$2^3×3^2×5$$

$$= 2^2×5^2×7$$

​$$= 3^3×5^2×7^2$$

​​We know that LCM is the product of maximum frequencies of all the integers(positive) involved in all prime factorizations.

LCM = $$2^3×3^3×5^2×7^2$$

Thus, correct option is (d)