Given numbers are 388,278,548,420,193

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

The LCM of 388,278,548,420,193 is 149731681260.

Find LCM of 388,278,548,420,193 with Prime Factorization

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

2 x 2 x 97 x 139 x 137 x 105 x 193 = 149731681260

Therefore, the lowest common multiple of 388,278,548,420,193 is 149731681260.

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.

388 x 278 x 548 x 420 x 193 = 4791413800320

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.

388 : 1, 2, 4, 97, 194, 388

278 : 1, 2, 139, 278

548 : 1, 2, 4, 137, 274, 548

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

193 : 1, 193

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,278,548,420,193, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

278:2x 139

548:2x 2x 137

420:2x 2x 3x 5x 7

193:193

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 2 = 32

Therefore, the value for common factors is 32.

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 = 4791413800320/(1x32)

LCM = 4791413800320/32

LCM = 149731681260

Thus, we can understand that the LCM of 388,278,548,420,193 is 149731681260.

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

• LCM of 353, 481, 926, 785, 679
• LCM of 898, 768, 637, 465, 449
• LCM of 131, 439, 351, 892, 579
• LCM of 620, 713, 752, 962, 619
• LCM of 453, 630, 394, 571, 804

1. What is the LCM of 388, 278, 548, 420, 193?

Answer: LCM of 388, 278, 548, 420, 193 is 149731681260.

2. How to calculate the LCM of 388, 278, 548, 420, 193?

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 388, 278, 548, 420, 193.

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}.