Given numbers are 715,827,734,491,198

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

The LCM of 715,827,734,491,198 is 1917924967530.

Find LCM of 715,827,734,491,198 with Prime Factorization

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

2 x 11 x 65 x 827 x 367 x 491 x 9 = 1917924967530

Therefore, the lowest common multiple of 715,827,734,491,198 is 1917924967530.

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.

715 x 827 x 734 x 491 x 198 = 42194349285660

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.

715 : 1, 5, 11, 13, 55, 65, 143, 715

827 : 1, 827

734 : 1, 2, 367, 734

491 : 1, 491

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 715,827,734,491,198, is 1.

Now, the common factors can be found like this.

715:5x 11x 13

827:827

734:2x 367

491:491

198:2x 3x 3x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 42194349285660/(1x22)

LCM = 42194349285660/22

LCM = 1917924967530

Thus, we can understand that the LCM of 715,827,734,491,198 is 1917924967530.

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

• LCM of 158, 279, 585, 744, 139
• LCM of 228, 503, 690, 586, 821
• LCM of 177, 352, 761, 360, 432
• LCM of 274, 134, 657, 369, 341
• LCM of 853, 453, 760, 761, 351

1. What is the LCM of 715, 827, 734, 491, 198?

Answer: LCM of 715, 827, 734, 491, 198 is 1917924967530.

2. How to calculate the LCM of 715, 827, 734, 491, 198?

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 715, 827, 734, 491, 198.

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}.