Given numbers are 402,528,414,760,456

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

The LCM of 402,528,414,760,456 is 231889680.

Find LCM of 402,528,414,760,456 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 67 x 22 x 69 x 5 x 1 = 231889680

Therefore, the lowest common multiple of 402,528,414,760,456 is 231889680.

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.

402 x 528 x 414 x 760 x 456 = 30453607895040

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

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

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,528,414,760,456, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

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

414:2x 3x 3x 23

760:2x 2x 2x 5x 19

456:2x 2x 2x 3x 19

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 2x 2x 2x 2x 2x 3x 3x 3x 19 = 65664

Therefore, the value for common factors is 65664.

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 = 30453607895040/(2x65664)

LCM = 30453607895040/131328

LCM = 231889680

Thus, we can understand that the LCM of 402,528,414,760,456 is 231889680.

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

• LCM of 853, 754, 578, 834, 113
• LCM of 526, 361, 389, 893, 951
• LCM of 920, 165, 884, 742, 247
• LCM of 273, 874, 706, 505, 819
• LCM of 597, 997, 208, 975, 277

1. What is the LCM of 402, 528, 414, 760, 456?

Answer: LCM of 402, 528, 414, 760, 456 is 231889680.

2. How to calculate the LCM of 402, 528, 414, 760, 456?

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 402, 528, 414, 760, 456.

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}.