Given numbers are 766,306,644,928,374

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

The LCM of 766,306,644,928,374 is 96306753312.

Find LCM of 766,306,644,928,374 with Prime Factorization

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

2 x 2 x 17 x 383 x 9 x 161 x 232 x 11 = 96306753312

Therefore, the lowest common multiple of 766,306,644,928,374 is 96306753312.

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.

766 x 306 x 644 x 928 x 374 = 52390873801728

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.

766 : 1, 2, 383, 766

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

374 : 1, 2, 11, 17, 22, 34, 187, 374

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,306,644,928,374, is 2.

Now, the common factors can be found like this.

766:2x 383

306:2x 3x 3x 17

644:2x 2x 7x 23

928:2x 2x 2x 2x 2x 29

374:2x 11x 17

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 17 = 272

Therefore, the value for common factors is 272.

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 = 52390873801728/(2x272)

LCM = 52390873801728/544

LCM = 96306753312

Thus, we can understand that the LCM of 766,306,644,928,374 is 96306753312.

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

• LCM of 508, 763, 932, 667, 687
• LCM of 871, 719, 621, 667, 987
• LCM of 327, 494, 154, 284, 735
• LCM of 355, 407, 867, 902, 674
• LCM of 775, 253, 400, 194, 174

1. What is the LCM of 766, 306, 644, 928, 374?

Answer: LCM of 766, 306, 644, 928, 374 is 96306753312.

2. How to calculate the LCM of 766, 306, 644, 928, 374?

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 766, 306, 644, 928, 374.

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}.