Contradiction with Matthew 28:7
The angel instructs the women to tell the disciples Jesus is risen, which implies they might not have remembered Jesus' prediction as the verse in Luke suggests.
Matthew 28:7: And go quickly, and tell his disciples that he is risen from the dead; and, behold, he goeth before you into Galilee; there shall ye see him: lo, I have told you.
Contradiction with Mark 16:8
The women flee from the tomb terrified and say nothing to anyone, which could contradict the notion of remembrance and understanding mentioned in Luke.
Mark 16:8: And they went out quickly, and fled from the sepulchre; for they trembled and were amazed: neither said they any thing to any [man]; for they were afraid.
Contradiction with John 20:2
Mary Magdalene reports that Jesus' body has been taken, indicating confusion or lack of remembrance of Jesus' words, which contrasts with the clarity implied by Luke 24:6.
John 20:2: Then she runneth, and cometh to Simon Peter, and to the other disciple, whom Jesus loved, and saith unto them, They have taken away the Lord out of the sepulchre, and we know not where they have laid him.