Answer :
Answer:
The LCM is [tex]70a^2b^3c^3[/tex]
Step-by-step explanation:
To find the LCM, we find the prime factorization of each expression.
For the first expression, we have
[tex]14ab^2c^3=2\times7\times a\times b^2\times c^3[/tex]
For the second expression, we have
[tex]35a^2b^3c=5\times 7\times a^2\times b^3 \times c[/tex]
For the LCM, we multiply the highest powers common to both prime factorization.
The Least Common Multiple is
[tex]=2\times 5\times 7\times a^2\times b^3 \times c^3[/tex]
[tex]=70a^2b^3c^3[/tex]