Given numbers are 728,654,337,434,984

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

The LCM of 728,654,337,434,984 is 101965812312.

Find LCM of 728,654,337,434,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 13 x 109 x 337 x 31 x 41 = 101965812312

Therefore, the lowest common multiple of 728,654,337,434,984 is 101965812312.

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.

728 x 654 x 337 x 434 x 984 = 68521025873664

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

654 : 1, 2, 3, 6, 109, 218, 327, 654

337 : 1, 337

434 : 1, 2, 7, 14, 31, 62, 217, 434

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,654,337,434,984, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

654:2x 3x 109

337:337

434:2x 7x 31

984:2x 2x 2x 3x 41

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 7 = 672

Therefore, the value for common factors is 672.

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 = 68521025873664/(1x672)

LCM = 68521025873664/672

LCM = 101965812312

Thus, we can understand that the LCM of 728,654,337,434,984 is 101965812312.

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

• LCM of 230, 802, 139, 795, 804
• LCM of 904, 254, 609, 517, 861
• LCM of 156, 603, 770, 118, 906
• LCM of 971, 740, 162, 317, 104
• LCM of 301, 401, 624, 520, 447

1. What is the LCM of 728, 654, 337, 434, 984?

Answer: LCM of 728, 654, 337, 434, 984 is 101965812312.

2. How to calculate the LCM of 728, 654, 337, 434, 984?

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 728, 654, 337, 434, 984.

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}.