Given numbers are 905,260,135,463

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

The LCM of 905,260,135,463 is 588297060.

Find LCM of 905,260,135,463 with Prime Factorization

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

5 x 181 x 52 x 27 x 463 = 588297060

Therefore, the lowest common multiple of 905,260,135,463 is 588297060.

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.

905 x 260 x 135 x 463 = 14707426500

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.

905 : 1, 5, 181, 905

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

135 : 1, 3, 5, 9, 15, 27, 45, 135

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,260,135,463, is 1.

Now, the common factors can be found like this.

905:5x 181

260:2x 2x 5x 13

135:3x 3x 3x 5

463:463

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 14707426500/(1x25)

LCM = 14707426500/25

LCM = 588297060

Thus, we can understand that the LCM of 905,260,135,463 is 588297060.

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

• LCM of 257, 862, 222, 684
• LCM of 408, 228, 845, 609
• LCM of 321, 761, 245, 830
• LCM of 269, 904, 620, 624
• LCM of 921, 713, 713, 375

1. What is the LCM of 905, 260, 135, 463?

Answer: LCM of 905, 260, 135, 463 is 588297060.

2. How to calculate the LCM of 905, 260, 135, 463?

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 905, 260, 135, 463.

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}.