School hallway has long lockers every 6 locker container package of kingdom every a truck container hockey stick and every ninth level container mirror which is the first rocket to contain all three items
Answers
72nd Locker will contain all three times
Step-by-step explanation:
every 6th locker contain package of kingdom
every 8th locker contain hockey stick
every 9th locker contain Mirror
first Locker to contain all three items
will be LCM of 6 , 8 , 9
6 = 2 * 3
8 = 2 * 2 * 2
9 = 3 * 3
LCM = 2 * 2 * 2 * 3 * 3
= 72
72nd Locker will contain all three times
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72nd Locker will contain all three times
Step-by-step explanation:
Every 6 locker contains package of kingdom
Every 8 locker contains hockey stick
Every 9 locker contain Mirror
To find which is the first locker to contain all three items:
Let us find the least common factor of 6, 8 and 9.
Prime factor of 6 = 2 × 3
Prime factor of 8 = 2 × 2 × 2
Prime factor of 9 = 3 × 3
LCM = 2 × 2 × 2 × 3 × 3
= 72
Hence 72nd Locker will contain all three times.
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