Question
Find the greatest common factor
9x
Calculate
27x5,45x,18x4
Write the terms one above the other
27x545x18x4
Write the prime factorization of 27x5
27x5=3×3×3x×x×x×x×x45x18x4
Write the prime factorization of 45x
27x5=3×3×3x×x×x×x×x45x=3×3×5x18x4
Write the prime factorization of 18x4
27x5=3×3×3x×x×x×x×x45x=3×3×5x18x4=2×3×3x×x×x×x
The greatest common factor is the product of the common factor of each terms
3×3x
Solution
9x
Show Solution

Find the least common multiple
270x5
Calculate
27x5,45x,18x4
Write the terms one above the other
27x545x18x4
Write the prime factorization of 27x5
27x5=3×3×3x×x×x×x×x45x18x4
Write the prime factorization of 45x
27x5=3×3×3x×x×x×x×x45x=3×3×5x18x4
Write the prime factorization of 18x4
27x5=3×3×3x×x×x×x×x45x=3×3×5x18x4=2×3×3x×x×x×x
The least common multiple is the product of the factor of occurs most
2×3×3×3×5x×x×x×x×x
Rewrite the expression in exponential form
2×33×5x5
Multiply the terms
10×33x5
Solution
More Steps

Evaluate
10×33
Evaluate the power
10×27
Multiply the numbers
270
270x5
Show Solution
