LCM of 338 and 203

What is the LCM of 338 and 203?


LCM of 338 and 203

is 68614

Formula How to

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What is the Least Common Multiple of 338 and 203? 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 338 and 203 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(338,203) =
    (338 × 203)/gcf(338,203)
  2. Calculate the numerator part and find the GCF of 338 and 203 in the denominator part.
    lcm(338,203) =
    68614/1
  3. After reduce the fraction, you will get the LCM value. Which is,
    68614

Prime Factorization Method:

  1. Find the prime factors of the first number 338.
    2, 13, 13
  2. Find the prime factors of the second number 203.
    7, 29
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    68614

Number LCM GCF
338 & 198 33462 2
338 & 199 67262 1
338 & 200 33800 2
338 & 201 67938 1
338 & 202 34138 2
338 & 203 68614 1
338 & 204 34476 2
338 & 205 69290 1
338 & 206 34814 2
338 & 207 69966 1
338 & 208 2704 26

LCM (Least Common Multiple) of 338 and 203 is 68614.

SCM (Smallest Common Multiple) of 338 and 203 is 68614.