Given numbers are 708,657,552,993,840

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

The LCM of 708,657,552,993,840 is 82628761320.

Find LCM of 708,657,552,993,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 59 x 219 x 23 x 331 x 35 = 82628761320

Therefore, the lowest common multiple of 708,657,552,993,840 is 82628761320.

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.

708 x 657 x 552 x 993 x 840 = 214173749341440

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

657 : 1, 3, 9, 73, 219, 657

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

993 : 1, 3, 331, 993

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 708,657,552,993,840, is 3.

Now, the common factors can be found like this.

708:2x 2x 3x 59

657:3x 3x 73

552:2x 2x 2x 3x 23

993:3x 331

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 2x 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 214173749341440/(3x864)

LCM = 214173749341440/2592

LCM = 82628761320

Thus, we can understand that the LCM of 708,657,552,993,840 is 82628761320.

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

• LCM of 430, 642, 105, 579, 705
• LCM of 383, 306, 137, 651, 951
• LCM of 251, 387, 370, 677, 878
• LCM of 507, 702, 810, 355, 283
• LCM of 990, 994, 855, 814, 486

1. What is the LCM of 708, 657, 552, 993, 840?

Answer: LCM of 708, 657, 552, 993, 840 is 82628761320.

2. How to calculate the LCM of 708, 657, 552, 993, 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 708, 657, 552, 993, 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}.