Given numbers are 135,731,610,814

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

The LCM of 135,731,610,814 is 4900104990.

Find LCM of 135,731,610,814 with Prime Factorization

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

2 x 5 x 27 x 731 x 61 x 407 = 4900104990

Therefore, the lowest common multiple of 135,731,610,814 is 4900104990.

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.

135 x 731 x 610 x 814 = 49001049900

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.

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

731 : 1, 17, 43, 731

610 : 1, 2, 5, 10, 61, 122, 305, 610

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,731,610,814, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

731:17x 43

610:2x 5x 61

814:2x 11x 37

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 49001049900/(1x10)

LCM = 49001049900/10

LCM = 4900104990

Thus, we can understand that the LCM of 135,731,610,814 is 4900104990.

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

• LCM of 274, 373, 519, 454
• LCM of 483, 638, 682, 380
• LCM of 270, 172, 679, 602
• LCM of 314, 205, 989, 141
• LCM of 246, 250, 965, 531

1. What is the LCM of 135, 731, 610, 814?

Answer: LCM of 135, 731, 610, 814 is 4900104990.

2. How to calculate the LCM of 135, 731, 610, 814?

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 135, 731, 610, 814.

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}.