Given numbers are 149,728,689,876,104

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

The LCM of 149,728,689,876,104 is 1259034504.

Find LCM of 149,728,689,876,104 with Prime Factorization

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

2 x 2 x 2 x 13 x 149 x 7 x 53 x 219 x 1 = 1259034504

Therefore, the lowest common multiple of 149,728,689,876,104 is 1259034504.

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.

149 x 728 x 689 x 876 x 104 = 6808858597632

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.

149 : 1, 149

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

689 : 1, 13, 53, 689

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

104 : 1, 2, 4, 8, 13, 26, 52, 104

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,728,689,876,104, is 1.

Now, the common factors can be found like this.

149:149

728:2x 2x 2x 7x 13

689:13x 53

876:2x 2x 3x 73

104:2x 2x 2x 13

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 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 6808858597632/(1x5408)

LCM = 6808858597632/5408

LCM = 1259034504

Thus, we can understand that the LCM of 149,728,689,876,104 is 1259034504.

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

• LCM of 405, 819, 661, 647, 726
• LCM of 733, 703, 988, 278, 962
• LCM of 669, 155, 944, 923, 537
• LCM of 232, 802, 747, 566, 766
• LCM of 639, 790, 905, 254, 735

1. What is the LCM of 149, 728, 689, 876, 104?

Answer: LCM of 149, 728, 689, 876, 104 is 1259034504.

2. How to calculate the LCM of 149, 728, 689, 876, 104?

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 149, 728, 689, 876, 104.

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}.