Given numbers are 772,464,350,414

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

The LCM of 772,464,350,414 is 3244021200.

Find LCM of 772,464,350,414 with Prime Factorization

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

2 x 2 x 193 x 116 x 175 x 207 = 3244021200

Therefore, the lowest common multiple of 772,464,350,414 is 3244021200.

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.

772 x 464 x 350 x 414 = 51904339200

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.

772 : 1, 2, 4, 193, 386, 772

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,464,350,414, is 2.

Now, the common factors can be found like this.

772:2x 2x 193

464:2x 2x 2x 2x 29

350:2x 5x 5x 7

414:2x 3x 3x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 51904339200/(2x8)

LCM = 51904339200/16

LCM = 3244021200

Thus, we can understand that the LCM of 772,464,350,414 is 3244021200.

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

• LCM of 495, 286, 534, 361
• LCM of 496, 690, 618, 945
• LCM of 174, 493, 811, 141
• LCM of 918, 862, 229, 191
• LCM of 409, 581, 493, 976

1. What is the LCM of 772, 464, 350, 414?

Answer: LCM of 772, 464, 350, 414 is 3244021200.

2. How to calculate the LCM of 772, 464, 350, 414?

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 772, 464, 350, 414.

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}.