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LCM for 30 and 355

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 355?

Answer

LCM of 30 and 355 is 2,130

(Two thousand, one hundred thirty)

Finding LCM for 30 and 355 using GCF of these numbers

The first method to find LCM for numbers 30 and 355 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 355 is 5, so

LCM = (30 × 355) ÷ 5

LCM = 10650 ÷ 5

LCM = 2130

Finding LCM for 30 and 355 by Listing Multiples

The second method to find LCM for numbers 30 and 355 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, 1740, 1770, 1800, 1830, 1860, 1890, 1920, 1950, 1980, 2010, 2040, 2070, 2100, 2130, 2160, 2190

Multiples of 355: 355, 710, 1065, 1420, 1775, 2130, 2485, 2840

So the LCM for 30 and 355 is 2130

Finding LCM for 30 and 355 by Prime Factorization

Another method to find LCM for numbers 30 and 355 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 355: 5, 71 (exponent form: 51, 711)

21 × 31 × 51 × 711 = 2130

See Also

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What is the LCM of 30 and 355?. Find the LCM of 30 and 355 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
153551065
163555680
173556035
183556390
193556745
203551420
213557455
223557810
233558165
243558520
253551775
263559230
273559585
283559940
2935510295
303552130
3135511005
3235511360
3335511715
3435512070
353552485
3635512780
3735513135
3835513490
3935513845
403552840
4135514555
4235514910
4335515265
4435515620

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 355? (The answer is: 2130). Select the first number (e.g. '30') and the second number (e.g. '355'). 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 355?

LCM of 30 and 355 is 2,130

How to find the LCM of 30 and 355 using prime factorization?

To find the LCM of 30 and 355, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,130.

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 355: LCM = 2,130, GCF = 5.

See Also