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LCM for 30 and 270

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 270?

Answer

LCM of 30 and 270 is 270

(Two hundred seventy)

Finding LCM for 30 and 270 using GCF of these numbers

The first method to find LCM for numbers 30 and 270 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 270 is 30, so

LCM = (30 × 270) ÷ 30

LCM = 8100 ÷ 30

LCM = 270

Finding LCM for 30 and 270 by Listing Multiples

The second method to find LCM for numbers 30 and 270 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

Multiples of 270: 270, 540, 810

So the LCM for 30 and 270 is 270

Finding LCM for 30 and 270 by Prime Factorization

Another method to find LCM for numbers 30 and 270 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 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

21 × 33 × 51 = 270

Related Calculations

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What is the LCM of 30 and 270?. Find the LCM of 30 and 270 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
15270270
162702160
172704590
18270270
192705130
20270540
212701890
222702970
232706210
242701080
252701350
262703510
27270270
282703780
292707830
30270270
312708370
322704320
332702970
342704590
352701890
36270540
372709990
382705130
392703510
402701080
4127011070
422701890
4327011610
442705940

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 270? (The answer is: 270). Select the first number (e.g. '30') and the second number (e.g. '270'). 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 270?

LCM of 30 and 270 is 270

How to find the LCM of 30 and 270 using prime factorization?

To find the LCM of 30 and 270, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

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 270: LCM = 270, GCF = 30.

See Also