Given numbers are 728,376,140,754,964

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

The LCM of 728,376,140,754,964 is 1195678120.

Find LCM of 728,376,140,754,964 with Prime Factorization

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

2 x 2 x 2 x 7 x 13 x 1 x 47 x 5 x 29 x 241 = 1195678120

Therefore, the lowest common multiple of 728,376,140,754,964 is 1195678120.

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 376 x 140 x 754 x 964 = 27854517483520

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

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

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

754 : 1, 2, 13, 26, 29, 58, 377, 754

964 : 1, 2, 4, 241, 482, 964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,376,140,754,964, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

376:2x 2x 2x 47

140:2x 2x 5x 7

754:2x 13x 29

964:2x 2x 241

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 2x 7x 13 = 11648

Therefore, the value for common factors is 11648.

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 = 27854517483520/(2x11648)

LCM = 27854517483520/23296

LCM = 1195678120

Thus, we can understand that the LCM of 728,376,140,754,964 is 1195678120.

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

• LCM of 443, 120, 985, 240, 340
• LCM of 183, 457, 787, 572, 433
• LCM of 910, 790, 705, 575, 155
• LCM of 660, 954, 363, 285, 774
• LCM of 651, 223, 599, 377, 292

1. What is the LCM of 728, 376, 140, 754, 964?

Answer: LCM of 728, 376, 140, 754, 964 is 1195678120.

2. How to calculate the LCM of 728, 376, 140, 754, 964?

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, 376, 140, 754, 964.

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}.