LCM of 243 and 149

What is the LCM of 243 and 149?


LCM of 243 and 149

is 36207

Formula How to

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What is the Least Common Multiple of 243 and 149? 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 243 and 149 using those formula above, step by step instructions are given below

GCF Method:

  1. Input the value as per formula.
    lcm(243,149) =
    (243 × 149)/gcf(243,149)
  2. Calculate the numerator part and find the GCF of 243 and 149 in the denominator part.
    lcm(243,149) =
    36207/1
  3. After reduce the fraction, you will get the LCM value. Which is,
    36207

Prime Factorization Method:

  1. Find the prime factors of the first number 243.
    3, 3, 3, 3, 3
  2. Find the prime factors of the second number 149.
    149
  3. Multiply all the highest exponent prime factors is the LCM value. Which is,
    36207

Number LCM GCF
243 & 144 3888 9
243 & 145 35235 1
243 & 146 35478 1
243 & 147 11907 3
243 & 148 35964 1
243 & 149 36207 1
243 & 150 12150 3
243 & 151 36693 1
243 & 152 36936 1
243 & 153 4131 9
243 & 154 37422 1

LCM (Least Common Multiple) of 243 and 149 is 36207.

SCM (Smallest Common Multiple) of 243 and 149 is 36207.