Given numbers are 402,537,924,840

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

The LCM of 402,537,924,840 is 110815320.

Find LCM of 402,537,924,840 with Prime Factorization

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

2 x 2 x 3 x 7 x 67 x 179 x 11 x 10 = 110815320

Therefore, the lowest common multiple of 402,537,924,840 is 110815320.

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 537 x 924 x 840 = 167552763840

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

537 : 1, 3, 179, 537

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,537,924,840, is 3.

Now, the common factors can be found like this.

402:2x 3x 67

537:3x 179

924:2x 2x 3x 7x 11

840:2x 2x 2x 3x 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 2x 2x 3x 3x 7 = 504

Therefore, the value for common factors is 504.

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 = 167552763840/(3x504)

LCM = 167552763840/1512

LCM = 110815320

Thus, we can understand that the LCM of 402,537,924,840 is 110815320.

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

• LCM of 357, 337, 301, 325
• LCM of 200, 274, 230, 124
• LCM of 618, 700, 909, 407
• LCM of 799, 784, 654, 103
• LCM of 298, 164, 558, 979

1. What is the LCM of 402, 537, 924, 840?

Answer: LCM of 402, 537, 924, 840 is 110815320.

2. How to calculate the LCM of 402, 537, 924, 840?

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, 537, 924, 840.

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}.