Given numbers are 728,942,102,153,417

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

The LCM of 728,942,102,153,417 is 2430733032.

Find LCM of 728,942,102,153,417 with Prime Factorization

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

2 x 3 x 17 x 364 x 157 x 1 x 3 x 139 = 2430733032

Therefore, the lowest common multiple of 728,942,102,153,417 is 2430733032.

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 942 x 102 x 153 x 417 = 4462825846752

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

942 : 1, 2, 3, 6, 157, 314, 471, 942

102 : 1, 2, 3, 6, 17, 34, 51, 102

153 : 1, 3, 9, 17, 51, 153

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,942,102,153,417, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

942:2x 3x 157

102:2x 3x 17

153:3x 3x 17

417:3x 139

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 3x 3x 3x 17 = 1836

Therefore, the value for common factors is 1836.

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 = 4462825846752/(1x1836)

LCM = 4462825846752/1836

LCM = 2430733032

Thus, we can understand that the LCM of 728,942,102,153,417 is 2430733032.

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

• LCM of 716, 178, 605, 951, 569
• LCM of 790, 453, 718, 153, 116
• LCM of 348, 621, 265, 805, 466
• LCM of 644, 431, 857, 104, 248
• LCM of 894, 136, 676, 781, 196

1. What is the LCM of 728, 942, 102, 153, 417?

Answer: LCM of 728, 942, 102, 153, 417 is 2430733032.

2. How to calculate the LCM of 728, 942, 102, 153, 417?

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, 942, 102, 153, 417.

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}.