Question

Find the LCM of 14ab2c3 and 35a2b3c Please list the multiples with it

Answer 1

Answer:

The LCM is $70a^2b^3c^3$

Step-by-step explanation:

To find the LCM, we find the prime factorization of each expression.

For the first expression, we have

$14ab^2c^3=2\times7\times a\times b^2\times c^3$

For the second expression, we have

$35a^2b^3c=5\times 7\times a^2\times b^3 \times c$

For the LCM, we multiply the highest powers common to both prime factorization.

The Least Common Multiple is

$=2\times 5\times 7\times a^2\times b^3 \times c^3$

$=70a^2b^3c^3$