Given numbers are 638,339,756,750,772

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

The LCM of 638,339,756,750,772 is 657443209500.

Find LCM of 638,339,756,750,772 with Prime Factorization

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

2 x 2 x 3 x 319 x 113 x 63 x 125 x 193 = 657443209500

Therefore, the lowest common multiple of 638,339,756,750,772 is 657443209500.

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.

638 x 339 x 756 x 750 x 772 = 94671822168000

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

339 : 1, 3, 113, 339

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

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

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,339,756,750,772, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

339:3x 113

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

750:2x 3x 5x 5x 5

772:2x 2x 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 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 = 94671822168000/(1x144)

LCM = 94671822168000/144

LCM = 657443209500

Thus, we can understand that the LCM of 638,339,756,750,772 is 657443209500.

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

• LCM of 452, 211, 937, 187, 519
• LCM of 346, 230, 555, 760, 314
• LCM of 894, 345, 926, 486, 425
• LCM of 436, 425, 813, 831, 469
• LCM of 962, 643, 252, 807, 265

1. What is the LCM of 638, 339, 756, 750, 772?

Answer: LCM of 638, 339, 756, 750, 772 is 657443209500.

2. How to calculate the LCM of 638, 339, 756, 750, 772?

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 638, 339, 756, 750, 772.

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}.