Given numbers are 514,410,409,964

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

The LCM of 514,410,409,964 is 20772431060.

Find LCM of 514,410,409,964 with Prime Factorization

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

2 x 257 x 205 x 409 x 482 = 20772431060

Therefore, the lowest common multiple of 514,410,409,964 is 20772431060.

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.

514 x 410 x 409 x 964 = 83089724240

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.

514 : 1, 2, 257, 514

410 : 1, 2, 5, 10, 41, 82, 205, 410

409 : 1, 409

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,410,409,964, is 1.

Now, the common factors can be found like this.

514:2x 257

410:2x 5x 41

409:409

964:2x 2x 241

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 83089724240/(1x4)

LCM = 83089724240/4

LCM = 20772431060

Thus, we can understand that the LCM of 514,410,409,964 is 20772431060.

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

• LCM of 216, 895, 517, 457
• LCM of 295, 496, 274, 622
• LCM of 839, 240, 790, 709
• LCM of 305, 649, 359, 972
• LCM of 834, 845, 385, 346

1. What is the LCM of 514, 410, 409, 964?

Answer: LCM of 514, 410, 409, 964 is 20772431060.

2. How to calculate the LCM of 514, 410, 409, 964?

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 514, 410, 409, 964.

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}.