Given numbers are 638,742,109,590,431

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

The LCM of 638,742,109,590,431 is 3280351425890.

Find LCM of 638,742,109,590,431 with Prime Factorization

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

2 x 319 x 371 x 109 x 295 x 431 = 3280351425890

Therefore, the lowest common multiple of 638,742,109,590,431 is 3280351425890.

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.

638 x 742 x 109 x 590 x 431 = 13121405703560

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

742 : 1, 2, 7, 14, 53, 106, 371, 742

109 : 1, 109

590 : 1, 2, 5, 10, 59, 118, 295, 590

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,742,109,590,431, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

742:2x 7x 53

109:109

590:2x 5x 59

431:431

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13121405703560/(1x4)

LCM = 13121405703560/4

LCM = 3280351425890

Thus, we can understand that the LCM of 638,742,109,590,431 is 3280351425890.

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

• LCM of 227, 228, 874, 829, 601
• LCM of 914, 895, 199, 568, 585
• LCM of 294, 138, 773, 735, 372
• LCM of 915, 669, 326, 503, 302
• LCM of 265, 459, 224, 765, 989

1. What is the LCM of 638, 742, 109, 590, 431?

Answer: LCM of 638, 742, 109, 590, 431 is 3280351425890.

2. How to calculate the LCM of 638, 742, 109, 590, 431?

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 638, 742, 109, 590, 431.

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}.