LCM for 30 and 360

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 30 and 360?

Answer

LCM of 30 and 360 is 360

(Three hundred sixty)

Finding LCM for 30 and 360 using GCF of these numbers

The first method to find LCM for numbers 30 and 360 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 30 and 360 is 30, so

LCM = (30 × 360) ÷ 30

LCM = 10800 ÷ 30

LCM = 360

Finding LCM for 30 and 360 by Listing Multiples

The second method to find LCM for numbers 30 and 360 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

Multiples of 360: 360, 720, 1080

So the LCM for 30 and 360 is 360

Finding LCM for 30 and 360 by Prime Factorization

Another method to find LCM for numbers 30 and 360 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 360: 2, 2, 2, 3, 3, 5 (exponent form: 23, 32, 51)

23 × 32 × 51 = 360

Related Calculations

See Also

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 360? (The answer is: 360). Select the first number (e.g. '30') and the second number (e.g. '360'). 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
15360360
16360720
173606120
18360360
193606840
20360360
213602520
223603960
233608280
24360360
253601800
263604680
273601080
283602520
2936010440
30360360
3136011160
323601440
333603960
343606120
353602520
36360360
3736013320
383606840
393604680
40360360
4136014760
423602520
4336015480
443603960

FAQ

What's the Least Common Multiple (LCM) of 30 and 360?

LCM of 30 and 360 is 360

How to find the LCM of 30 and 360 using prime factorization?

To find the LCM of 30 and 360, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 360.

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 360: LCM = 360, GCF = 30.

See Also