Given numbers are 457,264,415,350

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

The LCM of 457,264,415,350 is 1752412200.

Find LCM of 457,264,415,350 with Prime Factorization

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

2 x 5 x 457 x 132 x 83 x 35 = 1752412200

Therefore, the lowest common multiple of 457,264,415,350 is 1752412200.

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.

457 x 264 x 415 x 350 = 17524122000

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.

457 : 1, 457

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

415 : 1, 5, 83, 415

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 457,264,415,350, is 1.

Now, the common factors can be found like this.

457:457

264:2x 2x 2x 3x 11

415:5x 83

350:2x 5x 5x 7

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 = 17524122000/(1x10)

LCM = 17524122000/10

LCM = 1752412200

Thus, we can understand that the LCM of 457,264,415,350 is 1752412200.

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

• LCM of 166, 898, 644, 153
• LCM of 913, 682, 739, 126
• LCM of 241, 605, 741, 608
• LCM of 782, 572, 799, 731
• LCM of 864, 691, 549, 550

1. What is the LCM of 457, 264, 415, 350?

Answer: LCM of 457, 264, 415, 350 is 1752412200.

2. How to calculate the LCM of 457, 264, 415, 350?

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 457, 264, 415, 350.

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}.