Given numbers are 902,448,910,461,397

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

The LCM of 902,448,910,461,397 is 2403584223040.

Find LCM of 902,448,910,461,397 with Prime Factorization

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

2 x 7 x 451 x 32 x 65 x 461 x 397 = 2403584223040

Therefore, the lowest common multiple of 902,448,910,461,397 is 2403584223040.

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.

902 x 448 x 910 x 461 x 397 = 67300358245120

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.

902 : 1, 2, 11, 22, 41, 82, 451, 902

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

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

461 : 1, 461

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,448,910,461,397, is 1.

Now, the common factors can be found like this.

902:2x 11x 41

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

910:2x 5x 7x 13

461:461

397:397

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 7 = 28

Therefore, the value for common factors is 28.

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 = 67300358245120/(1x28)

LCM = 67300358245120/28

LCM = 2403584223040

Thus, we can understand that the LCM of 902,448,910,461,397 is 2403584223040.

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

• LCM of 244, 309, 213, 998, 860
• LCM of 609, 346, 197, 534, 767
• LCM of 108, 446, 581, 131, 752
• LCM of 566, 479, 609, 841, 846
• LCM of 548, 929, 142, 160, 884

1. What is the LCM of 902, 448, 910, 461, 397?

Answer: LCM of 902, 448, 910, 461, 397 is 2403584223040.

2. How to calculate the LCM of 902, 448, 910, 461, 397?

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 902, 448, 910, 461, 397.

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}.