Given numbers are 638,744,497,950,517

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

The LCM of 638,744,497,950,517 is 2633367521400.

Find LCM of 638,744,497,950,517 with Prime Factorization

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

2 x 11 x 29 x 372 x 497 x 475 x 47 = 2633367521400

Therefore, the lowest common multiple of 638,744,497,950,517 is 2633367521400.

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 744 x 497 x 950 x 517 = 115868170941600

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

497 : 1, 7, 71, 497

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,744,497,950,517, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

744:2x 2x 2x 3x 31

497:7x 71

950:2x 5x 5x 19

517:11x 47

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 11 = 44

Therefore, the value for common factors is 44.

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 = 115868170941600/(1x44)

LCM = 115868170941600/44

LCM = 2633367521400

Thus, we can understand that the LCM of 638,744,497,950,517 is 2633367521400.

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

• LCM of 720, 814, 994, 369, 831
• LCM of 322, 893, 523, 201, 610
• LCM of 268, 814, 725, 710, 360
• LCM of 873, 243, 872, 223, 519
• LCM of 874, 935, 930, 684, 902

1. What is the LCM of 638, 744, 497, 950, 517?

Answer: LCM of 638, 744, 497, 950, 517 is 2633367521400.

2. How to calculate the LCM of 638, 744, 497, 950, 517?

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, 744, 497, 950, 517.

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}.