Given numbers are 756,472,498,394,319

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

The LCM of 756,472,498,394,319 is 465306162552.

Find LCM of 756,472,498,394,319 with Prime Factorization

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

2 x 2 x 3 x 63 x 118 x 83 x 197 x 319 = 465306162552

Therefore, the lowest common multiple of 756,472,498,394,319 is 465306162552.

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.

756 x 472 x 498 x 394 x 319 = 22334695802496

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.

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

472 : 1, 2, 4, 8, 59, 118, 236, 472

498 : 1, 2, 3, 6, 83, 166, 249, 498

394 : 1, 2, 197, 394

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 756,472,498,394,319, is 1.

Now, the common factors can be found like this.

756:2x 2x 3x 3x 3x 7

472:2x 2x 2x 59

498:2x 3x 83

394:2x 197

319:11x 29

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 3 = 48

Therefore, the value for common factors is 48.

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 = 22334695802496/(1x48)

LCM = 22334695802496/48

LCM = 465306162552

Thus, we can understand that the LCM of 756,472,498,394,319 is 465306162552.

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

• LCM of 447, 210, 335, 712, 397
• LCM of 775, 761, 345, 838, 725
• LCM of 110, 838, 655, 993, 920
• LCM of 200, 161, 498, 817, 653
• LCM of 813, 977, 197, 488, 785

1. What is the LCM of 756, 472, 498, 394, 319?

Answer: LCM of 756, 472, 498, 394, 319 is 465306162552.

2. How to calculate the LCM of 756, 472, 498, 394, 319?

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 756, 472, 498, 394, 319.

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}.