Given numbers are 107,488,856,671,540

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

The LCM of 107,488,856,671,540 is 77540760.

Find LCM of 107,488,856,671,540 with Prime Factorization

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

2 x 2 x 2 x 61 x 107 x 1 x 1 x 1 x 11 x 135 = 77540760

Therefore, the lowest common multiple of 107,488,856,671,540 is 77540760.

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.

107 x 488 x 856 x 671 x 540 = 16195473296640

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.

107 : 1, 107

488 : 1, 2, 4, 8, 61, 122, 244, 488

856 : 1, 2, 4, 8, 107, 214, 428, 856

671 : 1, 11, 61, 671

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,488,856,671,540, is 1.

Now, the common factors can be found like this.

107:107

488:2x 2x 2x 61

856:2x 2x 2x 107

671:11x 61

540:2x 2x 3x 3x 3x 5

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 2x 61x 107 = 208864

Therefore, the value for common factors is 208864.

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 = 16195473296640/(1x208864)

LCM = 16195473296640/208864

LCM = 77540760

Thus, we can understand that the LCM of 107,488,856,671,540 is 77540760.

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

• LCM of 969, 109, 456, 407, 796
• LCM of 130, 762, 801, 706, 629
• LCM of 782, 913, 875, 289, 100
• LCM of 908, 948, 141, 383, 696
• LCM of 612, 142, 328, 578, 516

1. What is the LCM of 107, 488, 856, 671, 540?

Answer: LCM of 107, 488, 856, 671, 540 is 77540760.

2. How to calculate the LCM of 107, 488, 856, 671, 540?

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 107, 488, 856, 671, 540.

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}.