LCM for 30 and 238

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What's the Least Common Multiple (LCM) of 30 and 238?

Answer

LCM of 30 and 238 is
3,570

(Three thousand five hundred seventy)

Finding LCM for 30 and 238 using GCF of these numbers

The first method to find LCM for numbers 30 and 238 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 238 is 2, so

LCM = (30 × 238) ÷ 2

LCM = 7,140 ÷ 2

LCM = 3,570

Finding LCM for 30 and 238 by Listing Multiples

The second method to find LCM for numbers 30 and 238 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, 1,020, 1,050, 1,080, 1,110, 1,140, 1,170, 1,200, 1,230, 1,260, 1,290, 1,320, 1,350, 1,380, 1,410, 1,440, 1,470, 1,500, 1,530, 1,560, 1,590, 1,620, 1,650, 1,680, 1,710, 1,740, 1,770, 1,800, 1,830, 1,860, 1,890, 1,920, 1,950, 1,980, 2,010, 2,040, 2,070, 2,100, 2,130, 2,160, 2,190, 2,220, 2,250, 2,280, 2,310, 2,340, 2,370, 2,400, 2,430, 2,460, 2,490, 2,520, 2,550, 2,580, 2,610, 2,640, 2,670, 2,700, 2,730, 2,760, 2,790, 2,820, 2,850, 2,880, 2,910, 2,940, 2,970, 3,000, 3,030, 3,060, 3,090, 3,120, 3,150, 3,180, 3,210, 3,240, 3,270, 3,300, 3,330, 3,360, 3,390, 3,420, 3,450, 3,480, 3,510, 3,540, 3,570, 3,600, 3,630

Multiples of 238: 238, 476, 714, 952, 1,190, 1,428, 1,666, 1,904, 2,142, 2,380, 2,618, 2,856, 3,094, 3,332, 3,570, 3,808, 4,046

So the LCM for 30 and 238 is 3,570

Finding LCM for 30 and 238 by Prime Factorization

Another method to find LCM for numbers 30 and 238 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 238: 2, 7, 17 (exponent form: 21, 71, 171)

21 × 31 × 51 × 71 × 171 = 3,570

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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 238? (The answer is: 3,570). Select the first number (e.g. '30') and the second number (e.g. '238'). 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
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LCM Table

Number 1Number 2LCM
3096480
30100300
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851,110
30195390
302151,290
30225450
302351,410
302383,570
30240240
302451,470
30255510
30270270
302751,650
30280840
30285570
30290870
303352,010
303552,130
303652,190
303701,110
303852,310
30390390

FAQ

What's the Least Common Multiple (LCM) of 30 and 238?

LCM of 30 and 238 is 3,570

How to find the LCM of 30 and 238 using prime factorization?

To find the LCM of 30 and 238, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,570.

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 238: LCM = 3,570, GCF = 2.

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