Given numbers are 421,340,448,642,431

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

The LCM of 421,340,448,642,431 is 2217998959680.

Find LCM of 421,340,448,642,431 with Prime Factorization

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

2 x 2 x 421 x 85 x 112 x 321 x 431 = 2217998959680

Therefore, the lowest common multiple of 421,340,448,642,431 is 2217998959680.

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.

421 x 340 x 448 x 642 x 431 = 17743991677440

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.

421 : 1, 421

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

642 : 1, 2, 3, 6, 107, 214, 321, 642

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,340,448,642,431, is 1.

Now, the common factors can be found like this.

421:421

340:2x 2x 5x 17

448:2x 2x 2x 2x 2x 2x 7

642:2x 3x 107

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 17743991677440/(1x8)

LCM = 17743991677440/8

LCM = 2217998959680

Thus, we can understand that the LCM of 421,340,448,642,431 is 2217998959680.

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

• LCM of 524, 710, 827, 495, 116
• LCM of 282, 548, 407, 124, 784
• LCM of 209, 118, 902, 445, 487
• LCM of 223, 976, 664, 179, 142
• LCM of 391, 297, 835, 910, 713

1. What is the LCM of 421, 340, 448, 642, 431?

Answer: LCM of 421, 340, 448, 642, 431 is 2217998959680.

2. How to calculate the LCM of 421, 340, 448, 642, 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 421, 340, 448, 642, 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}.