Given numbers are 930,791,426,292,816

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

The LCM of 930,791,426,292,816 is 518536759440.

Find LCM of 930,791,426,292,816 with Prime Factorization

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

2 x 2 x 3 x 155 x 791 x 71 x 73 x 68 = 518536759440

Therefore, the lowest common multiple of 930,791,426,292,816 is 518536759440.

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.

930 x 791 x 426 x 292 x 816 = 74669293359360

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

791 : 1, 7, 113, 791

426 : 1, 2, 3, 6, 71, 142, 213, 426

292 : 1, 2, 4, 73, 146, 292

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,791,426,292,816, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

791:7x 113

426:2x 3x 71

292:2x 2x 73

816:2x 2x 2x 2x 3x 17

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 74669293359360/(1x144)

LCM = 74669293359360/144

LCM = 518536759440

Thus, we can understand that the LCM of 930,791,426,292,816 is 518536759440.

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

• LCM of 238, 787, 278, 648, 508
• LCM of 522, 965, 326, 492, 337
• LCM of 489, 268, 773, 315, 184
• LCM of 872, 858, 594, 624, 909
• LCM of 550, 519, 364, 478, 277

1. What is the LCM of 930, 791, 426, 292, 816?

Answer: LCM of 930, 791, 426, 292, 816 is 518536759440.

2. How to calculate the LCM of 930, 791, 426, 292, 816?

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 930, 791, 426, 292, 816.

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}.