Given numbers are 376,910,596,996,460

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

The LCM of 376,910,596,996,460 is 145986498840.

Find LCM of 376,910,596,996,460 with Prime Factorization

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

2 x 2 x 5 x 94 x 91 x 149 x 249 x 23 = 145986498840

Therefore, the lowest common multiple of 376,910,596,996,460 is 145986498840.

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.

376 x 910 x 596 x 996 x 460 = 93431359257600

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.

376 : 1, 2, 4, 8, 47, 94, 188, 376

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

596 : 1, 2, 4, 149, 298, 596

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,910,596,996,460, is 2.

Now, the common factors can be found like this.

376:2x 2x 2x 47

910:2x 5x 7x 13

596:2x 2x 149

996:2x 2x 3x 83

460:2x 2x 5x 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 2x 2x 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 93431359257600/(2x320)

LCM = 93431359257600/640

LCM = 145986498840

Thus, we can understand that the LCM of 376,910,596,996,460 is 145986498840.

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

• LCM of 552, 197, 630, 460, 252
• LCM of 902, 575, 559, 575, 245
• LCM of 814, 801, 531, 227, 175
• LCM of 314, 107, 623, 848, 593
• LCM of 560, 903, 731, 321, 284

1. What is the LCM of 376, 910, 596, 996, 460?

Answer: LCM of 376, 910, 596, 996, 460 is 145986498840.

2. How to calculate the LCM of 376, 910, 596, 996, 460?

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 376, 910, 596, 996, 460.

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}.