Given numbers are 428,527,309,621,414

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

The LCM of 428,527,309,621,414 is 14427238428.

Find LCM of 428,527,309,621,414 with Prime Factorization

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

2 x 3 x 3 x 23 x 214 x 527 x 103 x 1 x 3 = 14427238428

Therefore, the lowest common multiple of 428,527,309,621,414 is 14427238428.

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.

428 x 527 x 309 x 621 x 414 = 17918630127576

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.

428 : 1, 2, 4, 107, 214, 428

527 : 1, 17, 31, 527

309 : 1, 3, 103, 309

621 : 1, 3, 9, 23, 27, 69, 207, 621

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,527,309,621,414, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

527:17x 31

309:3x 103

621:3x 3x 3x 23

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 3x 3x 3x 23 = 1242

Therefore, the value for common factors is 1242.

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 = 17918630127576/(1x1242)

LCM = 17918630127576/1242

LCM = 14427238428

Thus, we can understand that the LCM of 428,527,309,621,414 is 14427238428.

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

• LCM of 522, 579, 515, 610, 993
• LCM of 407, 928, 878, 106, 978
• LCM of 710, 295, 852, 145, 216
• LCM of 934, 650, 214, 853, 849
• LCM of 397, 607, 593, 800, 706

1. What is the LCM of 428, 527, 309, 621, 414?

Answer: LCM of 428, 527, 309, 621, 414 is 14427238428.

2. How to calculate the LCM of 428, 527, 309, 621, 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 428, 527, 309, 621, 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}.