LCM for 10 and 320

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 10 and 320?

Answer

LCM of 10 and 320 is 320

(Three hundred twenty)

Finding LCM for 10 and 320 using GCF of these numbers

The first method to find LCM for numbers 10 and 320 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 10 and 320 is 10, so

LCM = (10 × 320) ÷ 10

LCM = 3200 ÷ 10

LCM = 320

Finding LCM for 10 and 320 by Listing Multiples

The second method to find LCM for numbers 10 and 320 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

Multiples of 320: 320, 640, 960

So the LCM for 10 and 320 is 320

Finding LCM for 10 and 320 by Prime Factorization

Another method to find LCM for numbers 10 and 320 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 320: 2, 2, 2, 2, 2, 2, 5 (exponent form: 26, 51)

26 × 51 = 320

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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 320? (The answer is: 320). Select the first number (e.g. '10') and the second number (e.g. '320'). 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
1320320
2320320
3320960
4320320
5320320
6320960
73202240
8320320
93202880
10320320
113203520
12320960
133204160
143202240
15320960
16320320
173205440
183202880
193206080
20320320
213206720
223203520
233207360
24320960
253201600
263204160
273208640
283202240
293209280
30320960

FAQ

What's the Least Common Multiple (LCM) of 10 and 320?

LCM of 10 and 320 is 320

How to find the LCM of 10 and 320 using prime factorization?

To find the LCM of 10 and 320, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 320.

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 320: LCM = 320, GCF = 10.

See Also