LCM for 9 and 50
What's the Least Common Multiple (LCM) of 9 and 50?
(Four hundred fifty)
Finding LCM for 9 and 50 using GCF's of these numbers
The first method to find LCM for numbers 9 and 50 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 50 is 1, so
LCM = (9 × 50) ÷ 1
LCM = 450 ÷ 1
LCM = 450
Finding LCM for 9 and 50 by Listing Multiples
The second method to find LCM for numbers 9 and 50 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450, 459, 468
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550
So the LCM for 9 and 50 is 450
Finding LCM for 9 and 50 by Prime Factorization
Another method to find LCM for numbers 9 and 50 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
32 × 21 × 52 = 450
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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