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LCM for 30 and 220

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 220?

Answer

LCM of 30 and 220 is 660

(Six hundred sixty)

Finding LCM for 30 and 220 using GCF of these numbers

The first method to find LCM for numbers 30 and 220 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 220 is 10, so

LCM = (30 × 220) ÷ 10

LCM = 6600 ÷ 10

LCM = 660

Finding LCM for 30 and 220 by Listing Multiples

The second method to find LCM for numbers 30 and 220 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, 540, 570, 600, 630, 660, 690, 720

Multiples of 220: 220, 440, 660, 880, 1100

So the LCM for 30 and 220 is 660

Finding LCM for 30 and 220 by Prime Factorization

Another method to find LCM for numbers 30 and 220 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 220: 2, 2, 5, 11 (exponent form: 22, 51, 111)

22 × 31 × 51 × 111 = 660

Related Calculations

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What is the LCM of 30 and 220?. Find the LCM of 30 and 220 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
15220660
16220880
172203740
182201980
192204180
20220220
212204620
22220220
232205060
242201320
252201100
262202860
272205940
282201540
292206380
30220660
312206820
322201760
33220660
342203740
352201540
362201980
372208140
382204180
392208580
40220440
412209020
422204620
432209460
44220220

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 220? (The answer is: 660). Select the first number (e.g. '30') and the second number (e.g. '220'). 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 220?

LCM of 30 and 220 is 660

How to find the LCM of 30 and 220 using prime factorization?

To find the LCM of 30 and 220, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 660.

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 220: LCM = 660, GCF = 10.

See Also