LCM for 16 and 30
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 16 and 30?
(Two hundred forty)
Finding LCM for 16 and 30 using GCF's of these numbers
The first method to find LCM for numbers 16 and 30 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 16 and 30 is 2, so
LCM = (16 × 30) ÷ 2
LCM = 480 ÷ 2
LCM = 240
Finding LCM for 16 and 30 by Listing Multiples
The second method to find LCM for numbers 16 and 30 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 16: 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
So the LCM for 16 and 30 is 240
Finding LCM for 16 and 30 by Prime Factorization
Another method to find LCM for numbers 16 and 30 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 16: 2, 2, 2, 2 (exponent form: 24)
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
24 × 31 × 51 = 240
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 16 and 30?
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- Наименьшее общее кратное 16 и 30