LCM for 10 and 390

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 390?

Answer

LCM of 10 and 390 is 390

(Three hundred ninety)

Finding LCM for 10 and 390 using GCF of these numbers

The first method to find LCM for numbers 10 and 390 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 390 is 10, so

LCM = (10 × 390) ÷ 10

LCM = 3900 ÷ 10

LCM = 390

Finding LCM for 10 and 390 by Listing Multiples

The second method to find LCM for numbers 10 and 390 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410

Multiples of 390: 390, 780, 1170

So the LCM for 10 and 390 is 390

Finding LCM for 10 and 390 by Prime Factorization

Another method to find LCM for numbers 10 and 390 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 390: 2, 3, 5, 13 (exponent form: 21, 31, 51, 131)

21 × 51 × 31 × 131 = 390

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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 10 and 390? (The answer is: 390). Select the first number (e.g. '10') and the second number (e.g. '390'). 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
1390390
2390390
3390390
4390780
5390390
6390390
73902730
83901560
93901170
10390390
113904290
12390780
13390390
143902730
15390390
163903120
173906630
183901170
193907410
20390780
213902730
223904290
233908970
243901560
253901950
26390390
273903510
283905460
2939011310
30390390

FAQ

What's the Least Common Multiple (LCM) of 10 and 390?

LCM of 10 and 390 is 390

How to find the LCM of 10 and 390 using prime factorization?

To find the LCM of 10 and 390, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 390.

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 10 and 390: LCM = 390, GCF = 10.

See Also