LCM of 404 and 328

What is the LCM of 404 and 328?


LCM of 404 and 328

is 33128

Formula How to

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What is the Least Common Multiple of 404 and 328? The LCM, or Least Common Multiple, is a mathematical concept that represents the smallest number that is a multiple of two or more numbers. In other words, it's the smallest positive integer that is divisible by all the numbers in a given set.

The LCM is often used in solving problems involving fractions, ratios, and gcd (greatest common divisor). To find the LCM of two or more numbers, you can use various methods such as listing the multiples of each number, finding the prime factorization of each number, and using division algorithms. Once you have the LCM, you can use it to simplify expressions, convert between fractions and decimals, and solve problems involving ratios and proportions.

To find LCM (Least Common Multiple) between two numbers, mainly there are two methods available, Those are-

1. GCF Method: To find the LCM value using GCF method, use the simple formula-

lcm(a,b) =
(a × b)/gcf(a,b)

Where,

  • a = First integer value;
  • b = Second integer value;
  • gcf = Greatest common factor;

2. Prime Factorization Method: Find the prime factors of both number and then multiply of all the highest exponent prime factors value, you will get the LCM value.

For calculation, here's how to calculate LCM of 404 and 328 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(404,328) =
    (404 × 328)/gcf(404,328)
  2. Calculate the numerator part and find the GCF of 404 and 328 in the denominator part.
    lcm(404,328) =
    132512/4
  3. After reduce the fraction, you will get the LCM value. Which is,
    33128

Prime Factorization Method:

  1. Find the prime factors of the first number 404.
    2, 2, 101
  2. Find the prime factors of the second number 328.
    2, 2, 2, 41
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    33128

Number LCM GCF
404 & 323 130492 1
404 & 324 32724 4
404 & 325 131300 1
404 & 326 65852 2
404 & 327 132108 1
404 & 328 33128 4
404 & 329 132916 1
404 & 330 66660 2
404 & 331 133724 1
404 & 332 33532 4
404 & 333 134532 1

LCM (Least Common Multiple) of 404 and 328 is 33128.

SCM (Smallest Common Multiple) of 404 and 328 is 33128.