Solve a-b,b-c,c+d,a-c,c*d,da,a-d

$$a - b , b - c , c + d , a - c , c \cdot d , d a , a - d$$

Least Common Multiple

$$acd\left(a-b\right)\left(a-c\right)\left(a-d\right)\left(b-c\right)\left(c+d\right)$$

Solution Steps

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$acd\left(a-b\right)\left(a-c\right)\left(a-d\right)\left(b-c\right)\left(c+d\right)$$

Expand the expression.

$$2a^{2}b^{2}c^{2}d^{2}-a^{2}c^{3}d^{3}-a^{2}d^{2}c^{4}-ab^{2}c^{2}d^{3}-ab^{2}d^{2}c^{3}+abc^{3}d^{3}+abd^{2}c^{4}-ba^{2}d^{2}c^{3}-bc^{2}d^{2}a^{3}-bca^{3}d^{3}+bcd^{2}a^{4}-bda^{2}c^{4}+bdc^{2}a^{4}+c^{2}a^{3}d^{3}-c^{2}d^{2}a^{4}+ca^{2}b^{2}d^{3}-cb^{2}d^{2}a^{3}+2d^{2}a^{3}c^{3}+da^{3}c^{4}+da^{2}b^{2}c^{3}-db^{2}c^{2}a^{3}-dc^{3}a^{4}$$

Evaluate

$$a-b,b-c,c+d,a-c,cd,ad,a-d$$