Given numbers are 523,514,211,403,644

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

The LCM of 523,514,211,403,644 is 7360514642572.

Find LCM of 523,514,211,403,644 with Prime Factorization

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

2 x 523 x 257 x 211 x 403 x 322 = 7360514642572

Therefore, the lowest common multiple of 523,514,211,403,644 is 7360514642572.

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.

523 x 514 x 211 x 403 x 644 = 14721029285144

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.

523 : 1, 523

514 : 1, 2, 257, 514

211 : 1, 211

403 : 1, 13, 31, 403

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,514,211,403,644, is 1.

Now, the common factors can be found like this.

523:523

514:2x 257

211:211

403:13x 31

644:2x 2x 7x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14721029285144/(1x2)

LCM = 14721029285144/2

LCM = 7360514642572

Thus, we can understand that the LCM of 523,514,211,403,644 is 7360514642572.

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

• LCM of 127, 850, 999, 193, 772
• LCM of 679, 770, 463, 116, 601
• LCM of 715, 910, 441, 745, 683
• LCM of 554, 470, 485, 907, 784
• LCM of 541, 986, 408, 358, 293

1. What is the LCM of 523, 514, 211, 403, 644?

Answer: LCM of 523, 514, 211, 403, 644 is 7360514642572.

2. How to calculate the LCM of 523, 514, 211, 403, 644?

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 523, 514, 211, 403, 644.

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}.