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LCM for 3 and 10

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 3 and 10?

Answer

LCM of 3 and 10 is 30

(Thirty)

Finding LCM for 3 and 10 using GCF of these numbers

The first method to find LCM for numbers 3 and 10 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 3 and 10 is 1, so

LCM = (3 × 10) ÷ 1

LCM = 30 ÷ 1

LCM = 30

Finding LCM for 3 and 10 by Listing Multiples

The second method to find LCM for numbers 3 and 10 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36

Multiples of 10: 10, 20, 30, 40, 50

So the LCM for 3 and 10 is 30

Finding LCM for 3 and 10 by Prime Factorization

Another method to find LCM for numbers 3 and 10 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 3: 3 (exponent form: 31)

All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

31 × 21 × 51 = 30

Related Calculations

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What is the LCM of 3 and 10?. The LCM of 3 and 10 is 30 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
313
326
3412
3515
366
3721
3824
399
31030
31133
31212
31339
31442
31515
31648
31751
31818
31957
32060
32121
32266
32369
32575
32884
335105
33636
337111
33939
34242
34545

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 3 and 10? (The answer is: 30). Select the first number (e.g. '3') and the second number (e.g. '10'). 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 3 and 10?

LCM of 3 and 10 is 30

How to find the LCM of 3 and 10 using prime factorization?

To find the LCM of 3 and 10, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 30.

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 3 and 10: LCM = 30, GCF = 1.

See Also