LCM for 50 and 260
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 50 and 260?
Answer
(One thousand, three hundred)
Finding LCM for 50 and 260 using GCF of these numbers
The first method to find LCM for numbers 50 and 260 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 50 and 260 is 10, so
LCM = (50 × 260) ÷ 10
LCM = 13000 ÷ 10
LCM = 1300
Finding LCM for 50 and 260 by Listing Multiples
The second method to find LCM for numbers 50 and 260 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400
Multiples of 260: 260, 520, 780, 1040, 1300, 1560, 1820
So the LCM for 50 and 260 is 1300
Finding LCM for 50 and 260 by Prime Factorization
Another method to find LCM for numbers 50 and 260 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
All Prime Factors of 260: 2, 2, 5, 13 (exponent form: 22, 51, 131)
22 × 52 × 131 = 1300
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 50 and 260?
How to find the LCM of 50 and 260 using prime factorization?
What is the difference between LCM and GCF?
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