Given numbers are 464,548,259,412

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

The LCM of 464,548,259,412 is 1695803536.

Find LCM of 464,548,259,412 with Prime Factorization

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

2 x 2 x 116 x 137 x 259 x 103 = 1695803536

Therefore, the lowest common multiple of 464,548,259,412 is 1695803536.

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.

464 x 548 x 259 x 412 = 27132856576

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

548 : 1, 2, 4, 137, 274, 548

259 : 1, 7, 37, 259

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,548,259,412, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

548:2x 2x 137

259:7x 37

412:2x 2x 103

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 2 = 16

Therefore, the value for common factors is 16.

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 = 27132856576/(1x16)

LCM = 27132856576/16

LCM = 1695803536

Thus, we can understand that the LCM of 464,548,259,412 is 1695803536.

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

• LCM of 605, 180, 556, 741
• LCM of 225, 940, 299, 144
• LCM of 678, 337, 483, 671
• LCM of 898, 137, 188, 659
• LCM of 539, 586, 714, 233

1. What is the LCM of 464, 548, 259, 412?

Answer: LCM of 464, 548, 259, 412 is 1695803536.

2. How to calculate the LCM of 464, 548, 259, 412?

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 464, 548, 259, 412.

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}.