Given numbers are 361,721,206,269

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 361,721,206,269 is 140031178.

Find LCM of 361,721,206,269 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

103 x 361 x 7 x 2 x 269 = 140031178

Therefore, the lowest common multiple of 361,721,206,269 is 140031178.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

361 x 721 x 206 x 269 = 14423211334

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

361 : 1, 19, 361

721 : 1, 7, 103, 721

206 : 1, 2, 103, 206

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,721,206,269, is 1.

Now, the common factors can be found like this.

361:19x 19

721:7x 103

206:2x 103

269:269

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

103 = 103

Therefore, the value for common factors is 103.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 14423211334/(1x103)

LCM = 14423211334/103

LCM = 140031178

Thus, we can understand that the LCM of 361,721,206,269 is 140031178.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 317, 761, 168, 502
• LCM of 197, 491, 942, 364
• LCM of 510, 152, 493, 741
• LCM of 430, 978, 451, 511
• LCM of 683, 696, 978, 590

1. What is the LCM of 361, 721, 206, 269?

Answer: LCM of 361, 721, 206, 269 is 140031178.

2. How to calculate the LCM of 361, 721, 206, 269?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 361, 721, 206, 269.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.