Lcm of 85, 35 and 15
Mathematics
ScanSolve AI Answer
Answer
The Least Common Multiple (LCM) of 85, 35, and 15 is 1785.
Step-by-step solution
3 stepsHere's how to find it:
Prime Factorization
- 85 = 5 × 17
- 35 = 5 × 7
- 15 = 3 × 5
Identify all unique prime factors and their highest powers
- The prime factors involved are 3, 5, 7, and 17.
- The highest power of 3 is 3¹ (from 15).
- The highest power of 5 is 5¹ (from 85, 35, and 15).
- The highest power of 7 is 7¹ (from 35).
- The highest power of 17 is 17¹ (from 85).
Multiply these highest powers together
LCM = 3 × 5 × 7 × 17 = 1785
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