What is the LCM of 9 and 50?

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What's the Least Common Multiple (LCM) of 9 and 50?

Answer: LCM of 9 and 50 is 450

(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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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 9 and 50? (The answer is: 450). Select the first number (e.g. '9') and the second number (e.g. '50'). After that hit the 'Calculate' button.

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

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LCM Table

Number 1	Number 2	LCM
1	50	50
2	50	50
3	50	150
4	50	100
5	50	50
6	50	150
7	50	350
8	50	200
9	50	450
10	50	50
11	50	550
12	50	300
13	50	650
14	50	350
15	50	150
16	50	400
17	50	850
18	50	450
19	50	950
20	50	100
21	50	1050
22	50	550
23	50	1150
24	50	600
25	50	50
26	50	650
27	50	1350
28	50	700
29	50	1450
30	50	150

LCM for 9 and 50

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 9 and 50?

Finding LCM for 9 and 50 using GCF's of these numbers

Finding LCM for 9 and 50 by Listing Multiples

Finding LCM for 9 and 50 by Prime Factorization

Related Calculations

See Also

About "Least Common Multiple" Calculator

"Least Common Multiple" Calculator

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 9 and 50?

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