LCM for 50 and 240
What's the Least Common Multiple (LCM) of 50 and 240?
Answer
(One thousand, two hundred)
Finding LCM for 50 and 240 using GCF of these numbers
The first method to find LCM for numbers 50 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 50 and 240 is 10, so
LCM = (50 × 240) ÷ 10
LCM = 12000 ÷ 10
LCM = 1200
Finding LCM for 50 and 240 by Listing Multiples
The second method to find LCM for numbers 50 and 240 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
Multiples of 240: 240, 480, 720, 960, 1200, 1440, 1680
So the LCM for 50 and 240 is 1200
Finding LCM for 50 and 240 by Prime Factorization
Another method to find LCM for numbers 50 and 240 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 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)
24 × 52 × 31 = 1200
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/50--240">What is the LCM of 50 and 240? - Calculatio</a>
LCM Table
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