Given numbers are 382,430,172,974

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

The LCM of 382,430,172,974 is 79994620.

Find LCM of 382,430,172,974 with Prime Factorization

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

2 x 43 x 191 x 5 x 2 x 487 = 79994620

Therefore, the lowest common multiple of 382,430,172,974 is 79994620.

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.

382 x 430 x 172 x 974 = 27518149280

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.

382 : 1, 2, 191, 382

430 : 1, 2, 5, 10, 43, 86, 215, 430

172 : 1, 2, 4, 43, 86, 172

974 : 1, 2, 487, 974

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,430,172,974, is 2.

Now, the common factors can be found like this.

382:2x 191

430:2x 5x 43

172:2x 2x 43

974:2x 487

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

2x 2x 43 = 172

Therefore, the value for common factors is 172.

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 = 27518149280/(2x172)

LCM = 27518149280/344

LCM = 79994620

Thus, we can understand that the LCM of 382,430,172,974 is 79994620.

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

• LCM of 537, 749, 406, 342
• LCM of 955, 423, 339, 977
• LCM of 421, 624, 344, 526
• LCM of 752, 329, 356, 103
• LCM of 412, 587, 374, 573

1. What is the LCM of 382, 430, 172, 974?

Answer: LCM of 382, 430, 172, 974 is 79994620.

2. How to calculate the LCM of 382, 430, 172, 974?

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 382, 430, 172, 974.

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}.