LCM for 60 and 390

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 60 and 390?

Answer

LCM of 60 and 390 is 780

(Seven hundred eighty)

Finding LCM for 60 and 390 using GCF of these numbers

The first method to find LCM for numbers 60 and 390 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 60 and 390 is 30, so

LCM = (60 × 390) ÷ 30

LCM = 23400 ÷ 30

LCM = 780

Finding LCM for 60 and 390 by Listing Multiples

The second method to find LCM for numbers 60 and 390 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900

Multiples of 390: 390, 780, 1170, 1560

So the LCM for 60 and 390 is 780

Finding LCM for 60 and 390 by Prime Factorization

Another method to find LCM for numbers 60 and 390 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

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

22 × 31 × 51 × 131 = 780

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 60 and 390? (The answer is: 780). Select the first number (e.g. '60') 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
453901170
463908970
4739018330
483903120
4939019110
503901950
513906630
52390780
5339020670
543903510
553904290
5639010920
573907410
5839011310
5939023010
60390780
6139023790
6239012090
633908190
6439012480
65390390
663904290
6739026130
6839013260
693908970
703902730
7139027690
723904680
7339028470
7439014430

FAQ

What's the Least Common Multiple (LCM) of 60 and 390?

LCM of 60 and 390 is 780

How to find the LCM of 60 and 390 using prime factorization?

To find the LCM of 60 and 390, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 780.

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 60 and 390: LCM = 780, GCF = 30.

See Also