LCM for 40 and 192

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 40 and 192?

Answer: LCM of 40 and 192 is 960

(Nine hundred sixty)

Finding LCM for 40 and 192 using GCF's of these numbers

The first method to find LCM for numbers 40 and 192 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 40 and 192 is 8, so

LCM = (40 × 192) ÷ 8

LCM = 7680 ÷ 8

LCM = 960

Finding LCM for 40 and 192 by Listing Multiples

The second method to find LCM for numbers 40 and 192 is to list out the common multiples for both nubmers and pick the first which matching:

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040

Multiples of 192: 192, 384, 576, 768, 960, 1152, 1344

So the LCM for 40 and 192 is 960

Finding LCM for 40 and 192 by Prime Factorization

Another method to find LCM for numbers 40 and 192 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

All Prime Factors of 192: 2, 2, 2, 2, 2, 2, 3 (exponent form: 26, 31)

26 × 51 × 31 = 960

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LCM Table

Number 1Number 2LCM
251924800
261922496
271921728
281921344
291925568
30192960
311925952
32192192
331922112
341923264
351926720
36192576
371927104
381923648
391922496
40192960
411927872
421921344
431928256
441922112
451922880
461924416
471929024
48192192
491929408
501924800
511923264
521922496
5319210176
541921728

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 40 and 192? (The answer is: 960). Select the first number (e.g. '40') and the second number (e.g. '192'). 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

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FAQ

What's the Least Common Multiple (LCM) of 40 and 192?

LCM of 40 and 192 is 960