marc and Aki are building hot wheels tracks. Marck has 4-inch pieces to make his track, and Aki has 10-inch pieces to make his track. How long will their tracks be when they are first the same length.
30 inches
or'
50 inches
or
20 inches
or
40 inches
To find the lengths of Marc and Aki's tracks, we need to find the least common multiple (LCM) of 4 inches and 10 inches.
The prime factorization of 4 is 2^2.
The prime factorization of 10 is 2 * 5.
The LCM is the product of the highest powers of all the prime factors involved. In this case, the LCM is 2^2 * 5 = 20 inches.
Therefore, the tracks will be 20 inches long when they are first the same length.