LCM for 30 and 200

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 200?

Answer: LCM of 30 and 200 is 600

(Six hundred)

Finding LCM for 30 and 200 using GCF's of these numbers

The first method to find LCM for numbers 30 and 200 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 200 is 10, so

LCM = (30 × 200) ÷ 10

LCM = 6000 ÷ 10

LCM = 600

Finding LCM for 30 and 200 by Listing Multiples

The second method to find LCM for numbers 30 and 200 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, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660

Multiples of 200: 200, 400, 600, 800, 1000

So the LCM for 30 and 200 is 600

Finding LCM for 30 and 200 by Prime Factorization

Another method to find LCM for numbers 30 and 200 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 200: 2, 2, 2, 5, 5 (exponent form: 23, 52)

23 × 31 × 52 = 600

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LCM Table

Number 1Number 2LCM
15200600
16200400
172003400
182001800
192003800
20200200
212004200
222002200
232004600
24200600
25200200
262002600
272005400
282001400
292005800
30200600
312006200
32200800
332006600
342003400
352001400
362001800
372007400
382003800
392007800
40200200
412008200
422004200
432008600
442002200

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 200? (The answer is: 600). Select the first number (e.g. '30') and the second number (e.g. '200'). 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

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 30 and 200?

LCM of 30 and 200 is 600

See Also