LCM for 30 and 275

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 275?

Answer

LCM of 30 and 275 is 1,650

(One thousand, six hundred fifty)

Finding LCM for 30 and 275 using GCF of these numbers

The first method to find LCM for numbers 30 and 275 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 275 is 5, so

LCM = (30 × 275) ÷ 5

LCM = 8250 ÷ 5

LCM = 1650

Finding LCM for 30 and 275 by Listing Multiples

The second method to find LCM for numbers 30 and 275 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, 1380, 1410, 1440, 1470, 1500, 1530, 1560, 1590, 1620, 1650, 1680, 1710

Multiples of 275: 275, 550, 825, 1100, 1375, 1650, 1925, 2200

So the LCM for 30 and 275 is 1650

Finding LCM for 30 and 275 by Prime Factorization

Another method to find LCM for numbers 30 and 275 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 275: 5, 5, 11 (exponent form: 52, 111)

21 × 31 × 52 × 111 = 1650

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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 275? (The answer is: 1650). Select the first number (e.g. '30') and the second number (e.g. '275'). 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
15275825
162754400
172754675
182754950
192755225
202751100
212755775
22275550
232756325
242756600
25275275
262757150
272757425
282757700
292757975
302751650
312758525
322758800
33275825
342759350
352751925
362759900
3727510175
3827510450
3927510725
402752200
4127511275
4227511550
4327511825
442751100

FAQ

What's the Least Common Multiple (LCM) of 30 and 275?

LCM of 30 and 275 is 1,650

How to find the LCM of 30 and 275 using prime factorization?

To find the LCM of 30 and 275, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,650.

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 275: LCM = 1,650, GCF = 5.

See Also