LCM for 50 and 390

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 50 and 390?

Answer

LCM of 50 and 390 is 1,950

(One thousand, nine hundred fifty)

Finding LCM for 50 and 390 using GCF of these numbers

The first method to find LCM for numbers 50 and 390 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 390 is 10, so

LCM = (50 × 390) ÷ 10

LCM = 19500 ÷ 10

LCM = 1950

Finding LCM for 50 and 390 by Listing Multiples

The second method to find LCM for numbers 50 and 390 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700, 1750, 1800, 1850, 1900, 1950, 2000, 2050

Multiples of 390: 390, 780, 1170, 1560, 1950, 2340, 2730

So the LCM for 50 and 390 is 1950

Finding LCM for 50 and 390 by Prime Factorization

Another method to find LCM for numbers 50 and 390 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)

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

21 × 52 × 31 × 131 = 1950

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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 50 and 390? (The answer is: 1950). Select the first number (e.g. '50') 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
353902730
363902340
3739014430
383907410
39390390
403901560
4139015990
423902730
4339016770
443908580
453901170
463908970
4739018330
483903120
4939019110
503901950
513906630
52390780
5339020670
543903510
553904290
5639010920
573907410
5839011310
5939023010
60390780
6139023790
6239012090
633908190
6439012480

FAQ

What's the Least Common Multiple (LCM) of 50 and 390?

LCM of 50 and 390 is 1,950

How to find the LCM of 50 and 390 using prime factorization?

To find the LCM of 50 and 390, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,950.

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 50 and 390: LCM = 1,950, GCF = 10.

See Also