Given numbers are 528,450,314,415,515

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

The LCM of 528,450,314,415,515 is 53150842800.

Find LCM of 528,450,314,415,515 with Prime Factorization

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

2 x 3 x 5 x 88 x 15 x 157 x 83 x 103 = 53150842800

Therefore, the lowest common multiple of 528,450,314,415,515 is 53150842800.

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.

528 x 450 x 314 x 415 x 515 = 15945252840000

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.

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

314 : 1, 2, 157, 314

415 : 1, 5, 83, 415

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,450,314,415,515, is 1.

Now, the common factors can be found like this.

528:2x 2x 2x 2x 3x 11

450:2x 3x 3x 5x 5

314:2x 157

415:5x 83

515:5x 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 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 15945252840000/(1x300)

LCM = 15945252840000/300

LCM = 53150842800

Thus, we can understand that the LCM of 528,450,314,415,515 is 53150842800.

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

• LCM of 144, 173, 569, 333, 836
• LCM of 866, 175, 263, 490, 784
• LCM of 144, 910, 989, 368, 661
• LCM of 387, 137, 138, 933, 368
• LCM of 590, 764, 491, 976, 571

1. What is the LCM of 528, 450, 314, 415, 515?

Answer: LCM of 528, 450, 314, 415, 515 is 53150842800.

2. How to calculate the LCM of 528, 450, 314, 415, 515?

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 528, 450, 314, 415, 515.

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}.