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LCM for 30 and 170

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 170?

Answer

LCM of 30 and 170 is 510

(Five hundred ten)

Finding LCM for 30 and 170 using GCF of these numbers

The first method to find LCM for numbers 30 and 170 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 170 is 10, so

LCM = (30 × 170) ÷ 10

LCM = 5100 ÷ 10

LCM = 510

Finding LCM for 30 and 170 by Listing Multiples

The second method to find LCM for numbers 30 and 170 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

Multiples of 170: 170, 340, 510, 680, 850

So the LCM for 30 and 170 is 510

Finding LCM for 30 and 170 by Prime Factorization

Another method to find LCM for numbers 30 and 170 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 170: 2, 5, 17 (exponent form: 21, 51, 171)

21 × 31 × 51 × 171 = 510

Related Calculations

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What is the LCM of 30 and 170?. Find the LCM of 30 and 170 - the smallest common multiple of two integers.
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LCM Table

Number 1Number 2LCM
15170510
161701360
17170170
181701530
191703230
20170340
211703570
221701870
231703910
241702040
25170850
261702210
271704590
281702380
291704930
30170510
311705270
321702720
331705610
34170170
351701190
361703060
371706290
381703230
391706630
40170680
411706970
421703570
431707310
441703740

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 170? (The answer is: 510). Select the first number (e.g. '30') and the second number (e.g. '170'). 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 170?

LCM of 30 and 170 is 510

How to find the LCM of 30 and 170 using prime factorization?

To find the LCM of 30 and 170, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 510.

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 170: LCM = 510, GCF = 10.

See Also