Given numbers are 739,750,352,676,382

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

The LCM of 739,750,352,676,382 is 3148751892000.

Find LCM of 739,750,352,676,382 with Prime Factorization

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

2 x 2 x 739 x 375 x 88 x 169 x 191 = 3148751892000

Therefore, the lowest common multiple of 739,750,352,676,382 is 3148751892000.

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.

739 x 750 x 352 x 676 x 382 = 50380030272000

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.

739 : 1, 739

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

382 : 1, 2, 191, 382

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,750,352,676,382, is 1.

Now, the common factors can be found like this.

739:739

750:2x 3x 5x 5x 5

352:2x 2x 2x 2x 2x 11

676:2x 2x 13x 13

382:2x 191

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 2 = 16

Therefore, the value for common factors is 16.

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 = 50380030272000/(1x16)

LCM = 50380030272000/16

LCM = 3148751892000

Thus, we can understand that the LCM of 739,750,352,676,382 is 3148751892000.

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

• LCM of 987, 450, 404, 262, 441
• LCM of 512, 715, 842, 476, 845
• LCM of 722, 984, 418, 151, 878
• LCM of 138, 358, 600, 138, 366
• LCM of 916, 672, 812, 171, 897

1. What is the LCM of 739, 750, 352, 676, 382?

Answer: LCM of 739, 750, 352, 676, 382 is 3148751892000.

2. How to calculate the LCM of 739, 750, 352, 676, 382?

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 739, 750, 352, 676, 382.

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}.