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Each card shows a number from 1 to 10 with its prime factors. What is the smallest number that is divisible by every number from 1 to 10?

Class 10Fundamental Theorem of ArithmeticNumber Systems
  • A3628800
  • B2520
  • C5040
  • D1260

Step-by-Step Solution

Take the highest power of each prime on the cards: (from 8), (from 9), 5 and 7. LCM is divisible but not smallest; 1260 misses one 2.)
Answer: B) 2520

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