Given numbers are 100,457,128,683,790

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

The LCM of 100,457,128,683,790 is 78906716800.

Find LCM of 100,457,128,683,790 with Prime Factorization

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

2 x 2 x 5 x 5 x 457 x 32 x 683 x 79 = 78906716800

Therefore, the lowest common multiple of 100,457,128,683,790 is 78906716800.

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.

100 x 457 x 128 x 683 x 790 = 3156268672000

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.

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

457 : 1, 457

128 : 1, 2, 4, 8, 16, 32, 64, 128

683 : 1, 683

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,457,128,683,790, is 1.

Now, the common factors can be found like this.

100:2x 2x 5x 5

457:457

128:2x 2x 2x 2x 2x 2x 2

683:683

790:2x 5x 79

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 5 = 40

Therefore, the value for common factors is 40.

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 = 3156268672000/(1x40)

LCM = 3156268672000/40

LCM = 78906716800

Thus, we can understand that the LCM of 100,457,128,683,790 is 78906716800.

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

• LCM of 602, 670, 338, 490, 195
• LCM of 895, 340, 778, 961, 293
• LCM of 254, 922, 880, 111, 611
• LCM of 286, 422, 345, 745, 683
• LCM of 345, 181, 343, 161, 393

1. What is the LCM of 100, 457, 128, 683, 790?

Answer: LCM of 100, 457, 128, 683, 790 is 78906716800.

2. How to calculate the LCM of 100, 457, 128, 683, 790?

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 100, 457, 128, 683, 790.

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}.