Given numbers are 728,437,451,107,688

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

The LCM of 728,437,451,107,688 is 1320296849872.

Find LCM of 728,437,451,107,688 with Prime Factorization

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

2 x 2 x 2 x 91 x 437 x 451 x 107 x 86 = 1320296849872

Therefore, the lowest common multiple of 728,437,451,107,688 is 1320296849872.

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 437 x 451 x 107 x 688 = 10562374798976

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

437 : 1, 19, 23, 437

451 : 1, 11, 41, 451

107 : 1, 107

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,437,451,107,688, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

437:19x 23

451:11x 41

107:107

688:2x 2x 2x 2x 43

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 2 = 8

Therefore, the value for common factors is 8.

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 = 10562374798976/(1x8)

LCM = 10562374798976/8

LCM = 1320296849872

Thus, we can understand that the LCM of 728,437,451,107,688 is 1320296849872.

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

• LCM of 447, 390, 275, 459, 452
• LCM of 287, 432, 275, 543, 228
• LCM of 219, 160, 942, 873, 670
• LCM of 665, 708, 642, 795, 220
• LCM of 952, 915, 952, 675, 785

1. What is the LCM of 728, 437, 451, 107, 688?

Answer: LCM of 728, 437, 451, 107, 688 is 1320296849872.

2. How to calculate the LCM of 728, 437, 451, 107, 688?

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, 437, 451, 107, 688.

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}.