LCM for 30 and 215

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 215?

Answer

LCM of 30 and 215 is 1,290

(One thousand, two hundred ninety)

Finding LCM for 30 and 215 using GCF of these numbers

The first method to find LCM for numbers 30 and 215 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 215 is 5, so

LCM = (30 × 215) ÷ 5

LCM = 6450 ÷ 5

LCM = 1290

Finding LCM for 30 and 215 by Listing Multiples

The second method to find LCM for numbers 30 and 215 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, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350

Multiples of 215: 215, 430, 645, 860, 1075, 1290, 1505, 1720

So the LCM for 30 and 215 is 1290

Finding LCM for 30 and 215 by Prime Factorization

Another method to find LCM for numbers 30 and 215 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 215: 5, 43 (exponent form: 51, 431)

21 × 31 × 51 × 431 = 1290

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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 215? (The answer is: 1290). Select the first number (e.g. '30') and the second number (e.g. '215'). 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

LCM Table

Number 1Number 2LCM
15215645
162153440
172153655
182153870
192154085
20215860
212154515
222154730
232154945
242155160
252151075
262155590
272155805
282156020
292156235
302151290
312156665
322156880
332157095
342157310
352151505
362157740
372157955
382158170
392158385
402151720
412158815
422159030
43215215
442159460

FAQ

What's the Least Common Multiple (LCM) of 30 and 215?

LCM of 30 and 215 is 1,290

How to find the LCM of 30 and 215 using prime factorization?

To find the LCM of 30 and 215, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,290.

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 215: LCM = 1,290, GCF = 5.

See Also