LCM for 50 and 390

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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
501851850
50200200
502052050
502101050
502201100
50225450
502401200
502452450
50250250
502852850
50300300
503201600
50325650
503301650
503353350
503453450
503653650
50375750
503801900
503901950
504054050
504102050
504154150
504302150
504402200
504702350
50475950
504802400
505251050
508251650

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.

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