LCM for 50 and 320

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 50 and 320?

Answer

LCM of 50 and 320 is 1,600

(One thousand, six hundred)

Finding LCM for 50 and 320 using GCF of these numbers

The first method to find LCM for numbers 50 and 320 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 50 and 320 is 10, so

LCM = (50 × 320) ÷ 10

LCM = 16000 ÷ 10

LCM = 1600

Finding LCM for 50 and 320 by Listing Multiples

The second method to find LCM for numbers 50 and 320 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

Multiples of 320: 320, 640, 960, 1280, 1600, 1920, 2240

So the LCM for 50 and 320 is 1600

Finding LCM for 50 and 320 by Prime Factorization

Another method to find LCM for numbers 50 and 320 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 320: 2, 2, 2, 2, 2, 2, 5 (exponent form: 26, 51)

26 × 52 = 1600

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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 320? (The answer is: 1600). Select the first number (e.g. '50') 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
353202240
363202880
3732011840
383206080
3932012480
40320320
4132013120
423206720
4332013760
443203520
453202880
463207360
4732015040
48320960
4932015680
503201600
5132016320
523204160
5332016960
543208640
553203520
563202240
5732018240
583209280
5932018880
60320960
6132019520
623209920
6332020160
64320320

FAQ

What's the Least Common Multiple (LCM) of 50 and 320?

LCM of 50 and 320 is 1,600

How to find the LCM of 50 and 320 using prime factorization?

To find the LCM of 50 and 320, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,600.

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 320: LCM = 1,600, GCF = 10.

See Also