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LCM for 30 and 225

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 225?

Answer

LCM of 30 and 225 is 450

(Four hundred fifty)

Finding LCM for 30 and 225 using GCF of these numbers

The first method to find LCM for numbers 30 and 225 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 225 is 15, so

LCM = (30 × 225) ÷ 15

LCM = 6750 ÷ 15

LCM = 450

Finding LCM for 30 and 225 by Listing Multiples

The second method to find LCM for numbers 30 and 225 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510

Multiples of 225: 225, 450, 675, 900

So the LCM for 30 and 225 is 450

Finding LCM for 30 and 225 by Prime Factorization

Another method to find LCM for numbers 30 and 225 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 225: 3, 3, 5, 5 (exponent form: 32, 52)

21 × 32 × 52 = 450

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What is the LCM of 30 and 225?. Find the LCM of 30 and 225 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
15225225
162253600
172253825
18225450
192254275
20225900
212251575
222254950
232255175
242251800
25225225
262255850
27225675
282256300
292256525
30225450
312256975
322257200
332252475
342257650
352251575
36225900
372258325
382258550
392252925
402251800
412259225
422253150
432259675
442259900

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 225? (The answer is: 450). Select the first number (e.g. '30') and the second number (e.g. '225'). 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 225?

LCM of 30 and 225 is 450

How to find the LCM of 30 and 225 using prime factorization?

To find the LCM of 30 and 225, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 450.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 30 and 225: LCM = 450, GCF = 15.

See Also