What is the LCM of 30 and 50?

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 50?

Answer: LCM of 30 and 50 is 150

(One hundred fifty)

Finding LCM for 30 and 50 using GCF's of these numbers

The first method to find LCM for numbers 30 and 50 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 50 is 10, so

LCM = (30 × 50) ÷ 10

LCM = 1500 ÷ 10

LCM = 150

Finding LCM for 30 and 50 by Listing Multiples

The second method to find LCM for numbers 30 and 50 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210

Multiples of 50: 50, 100, 150, 200, 250

So the LCM for 30 and 50 is 150

Finding LCM for 30 and 50 by Prime Factorization

Another method to find LCM for numbers 30 and 50 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 30: 2, 3, 5 (exponent form: 2¹, 3¹, 5¹)

All Prime Factors of 50: 2, 5, 5 (exponent form: 2¹, 5²)

2¹ × 3¹ × 5² = 150

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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 30 and 50? (The answer is: 150). Select the first number (e.g. '30') 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

"Least Common Multiple" Calculator

LCM Table

Number 1	Number 2	LCM
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
31	50	1550
32	50	800
33	50	1650
34	50	850
35	50	350
36	50	900
37	50	1850
38	50	950
39	50	1950
40	50	200
41	50	2050
42	50	1050
43	50	2150
44	50	1100

LCM for 30 and 50

"Least Common Multiple" Calculator

What's the Least Common Multiple (LCM) of 30 and 50?

Finding LCM for 30 and 50 using GCF's of these numbers

Finding LCM for 30 and 50 by Listing Multiples

Finding LCM for 30 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 30 and 50?

See Also