LCM for 3 and 15
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 3 and 15?
(Fifteen)
Finding LCM for 3 and 15 using GCF's of these numbers
The first method to find LCM for numbers 3 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 15 is 3, so
LCM = (3 × 15) ÷ 3
LCM = 45 ÷ 3
LCM = 15
Finding LCM for 3 and 15 by Listing Multiples
The second method to find LCM for numbers 3 and 15 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, [...], 15
So the LCM for 3 and 15 is 15
Finding LCM for 3 and 15 by Prime Factorization
Another method to find LCM for numbers 3 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
31 × 51 = 15
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 3 and 15?
See Also
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- Наименьшее общее кратное 3 и 15