Given numbers are 838,528,465,720,129

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

The LCM of 838,528,465,720,129 is 4423533840.

Find LCM of 838,528,465,720,129 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 419 x 11 x 31 x 3 x 43 = 4423533840

Therefore, the lowest common multiple of 838,528,465,720,129 is 4423533840.

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.

838 x 528 x 465 x 720 x 129 = 19109666188800

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.

838 : 1, 2, 419, 838

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

465 : 1, 3, 5, 15, 31, 93, 155, 465

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,528,465,720,129, is 1.

Now, the common factors can be found like this.

838:2x 419

528:2x 2x 2x 2x 3x 11

465:3x 5x 31

720:2x 2x 2x 2x 3x 3x 5

129:3x 43

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 19109666188800/(1x4320)

LCM = 19109666188800/4320

LCM = 4423533840

Thus, we can understand that the LCM of 838,528,465,720,129 is 4423533840.

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

• LCM of 191, 496, 108, 508, 499
• LCM of 116, 312, 290, 649, 199
• LCM of 659, 620, 835, 275, 138
• LCM of 274, 865, 858, 688, 861
• LCM of 608, 523, 592, 477, 480

1. What is the LCM of 838, 528, 465, 720, 129?

Answer: LCM of 838, 528, 465, 720, 129 is 4423533840.

2. How to calculate the LCM of 838, 528, 465, 720, 129?

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 838, 528, 465, 720, 129.

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}.