Given numbers are 432,278,425,766,906

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

The LCM of 432,278,425,766,906 is 1475921293200.

Find LCM of 432,278,425,766,906 with Prime Factorization

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

2 x 3 x 72 x 139 x 425 x 383 x 151 = 1475921293200

Therefore, the lowest common multiple of 432,278,425,766,906 is 1475921293200.

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.

432 x 278 x 425 x 766 x 906 = 35422111036800

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.

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

278 : 1, 2, 139, 278

425 : 1, 5, 17, 25, 85, 425

766 : 1, 2, 383, 766

906 : 1, 2, 3, 6, 151, 302, 453, 906

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,278,425,766,906, is 1.

Now, the common factors can be found like this.

432:2x 2x 2x 2x 3x 3x 3

278:2x 139

425:5x 5x 17

766:2x 383

906:2x 3x 151

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 35422111036800/(1x24)

LCM = 35422111036800/24

LCM = 1475921293200

Thus, we can understand that the LCM of 432,278,425,766,906 is 1475921293200.

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

• LCM of 277, 932, 741, 636, 426
• LCM of 944, 248, 959, 280, 473
• LCM of 505, 859, 460, 757, 611
• LCM of 848, 740, 424, 578, 996
• LCM of 905, 920, 612, 315, 925

1. What is the LCM of 432, 278, 425, 766, 906?

Answer: LCM of 432, 278, 425, 766, 906 is 1475921293200.

2. How to calculate the LCM of 432, 278, 425, 766, 906?

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 432, 278, 425, 766, 906.

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}.