LCM of 340 and 300

What is the LCM of 340 and 300?


LCM of 340 and 300

is 5100

Formula How to

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What is the Least Common Multiple of 340 and 300? 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 340 and 300 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(340,300) =
    (340 × 300)/gcf(340,300)
  2. Calculate the numerator part and find the GCF of 340 and 300 in the denominator part.
    lcm(340,300) =
    102000/20
  3. After reduce the fraction, you will get the LCM value. Which is,
    5100

Prime Factorization Method:

  1. Find the prime factors of the first number 340.
    2, 2, 5, 17
  2. Find the prime factors of the second number 300.
    2, 2, 3, 5, 5
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    5100

Number LCM GCF
340 & 295 20060 5
340 & 296 25160 4
340 & 297 100980 1
340 & 298 50660 2
340 & 299 101660 1
340 & 300 5100 20
340 & 301 102340 1
340 & 302 51340 2
340 & 303 103020 1
340 & 304 25840 4
340 & 305 20740 5

LCM (Least Common Multiple) of 340 and 300 is 5100.

SCM (Smallest Common Multiple) of 340 and 300 is 5100.