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Sarah ordered some beads for a bracelet. The packaging of each color was different. The red was in packages of $25$ and the blue in packages of $40$. If she wants to use every bead with none left over, she needs to find the least common multiple to help her decide how many packets she would need. What is the LCM?

A

$120$

B

$200$

C

$400$

D

$300$

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