Given numbers are 402,754,456,478,312

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

The LCM of 402,754,456,478,312 is 2752826856.

Find LCM of 402,754,456,478,312 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 67 x 29 x 19 x 239 x 1 = 2752826856

Therefore, the lowest common multiple of 402,754,456,478,312 is 2752826856.

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 754 x 456 x 478 x 312 = 20613167497728

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

754 : 1, 2, 13, 26, 29, 58, 377, 754

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

478 : 1, 2, 239, 478

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,754,456,478,312, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

754:2x 13x 29

456:2x 2x 2x 3x 19

478:2x 239

312:2x 2x 2x 3x 13

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 3x 3x 13 = 3744

Therefore, the value for common factors is 3744.

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 = 20613167497728/(2x3744)

LCM = 20613167497728/7488

LCM = 2752826856

Thus, we can understand that the LCM of 402,754,456,478,312 is 2752826856.

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

• LCM of 297, 204, 920, 723, 516
• LCM of 927, 254, 967, 930, 663
• LCM of 918, 703, 999, 956, 346
• LCM of 388, 786, 726, 631, 977
• LCM of 716, 312, 372, 743, 374

1. What is the LCM of 402, 754, 456, 478, 312?

Answer: LCM of 402, 754, 456, 478, 312 is 2752826856.

2. How to calculate the LCM of 402, 754, 456, 478, 312?

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, 754, 456, 478, 312.

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}.