Given numbers are 431,278,678,590

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

The LCM of 431,278,678,590 is 11982399090.

Find LCM of 431,278,678,590 with Prime Factorization

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

2 x 431 x 139 x 339 x 295 = 11982399090

Therefore, the lowest common multiple of 431,278,678,590 is 11982399090.

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.

431 x 278 x 678 x 590 = 47929596360

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.

431 : 1, 431

278 : 1, 2, 139, 278

678 : 1, 2, 3, 6, 113, 226, 339, 678

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,278,678,590, is 1.

Now, the common factors can be found like this.

431:431

278:2x 139

678:2x 3x 113

590:2x 5x 59

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 = 47929596360/(1x4)

LCM = 47929596360/4

LCM = 11982399090

Thus, we can understand that the LCM of 431,278,678,590 is 11982399090.

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

• LCM of 991, 765, 889, 997
• LCM of 536, 439, 178, 211
• LCM of 506, 691, 828, 533
• LCM of 953, 955, 601, 728
• LCM of 553, 348, 703, 234

1. What is the LCM of 431, 278, 678, 590?

Answer: LCM of 431, 278, 678, 590 is 11982399090.

2. How to calculate the LCM of 431, 278, 678, 590?

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 431, 278, 678, 590.

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}.