Given numbers are 382,518,214,370,763

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

The LCM of 382,518,214,370,763 is 5769569470.

Find LCM of 382,518,214,370,763 with Prime Factorization

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

2 x 7 x 37 x 191 x 1 x 107 x 5 x 109 = 5769569470

Therefore, the lowest common multiple of 382,518,214,370,763 is 5769569470.

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.

382 x 518 x 214 x 370 x 763 = 11954547941840

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.

382 : 1, 2, 191, 382

518 : 1, 2, 7, 14, 37, 74, 259, 518

214 : 1, 2, 107, 214

370 : 1, 2, 5, 10, 37, 74, 185, 370

763 : 1, 7, 109, 763

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,518,214,370,763, is 1.

Now, the common factors can be found like this.

382:2x 191

518:2x 7x 37

214:2x 107

370:2x 5x 37

763:7x 109

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 7x 37 = 2072

Therefore, the value for common factors is 2072.

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 = 11954547941840/(1x2072)

LCM = 11954547941840/2072

LCM = 5769569470

Thus, we can understand that the LCM of 382,518,214,370,763 is 5769569470.

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

• LCM of 152, 340, 760, 404, 673
• LCM of 457, 354, 805, 373, 318
• LCM of 761, 210, 279, 597, 885
• LCM of 960, 435, 327, 917, 401
• LCM of 993, 907, 313, 438, 641

1. What is the LCM of 382, 518, 214, 370, 763?

Answer: LCM of 382, 518, 214, 370, 763 is 5769569470.

2. How to calculate the LCM of 382, 518, 214, 370, 763?

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 382, 518, 214, 370, 763.

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}.