Given numbers are 106,750,264,628,387

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

The LCM of 106,750,264,628,387 is 35422497000.

Find LCM of 106,750,264,628,387 with Prime Factorization

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

2 x 2 x 3 x 53 x 125 x 22 x 157 x 129 = 35422497000

Therefore, the lowest common multiple of 106,750,264,628,387 is 35422497000.

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.

106 x 750 x 264 x 628 x 387 = 5100839568000

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.

106 : 1, 2, 53, 106

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

628 : 1, 2, 4, 157, 314, 628

387 : 1, 3, 9, 43, 129, 387

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,750,264,628,387, is 1.

Now, the common factors can be found like this.

106:2x 53

750:2x 3x 5x 5x 5

264:2x 2x 2x 3x 11

628:2x 2x 157

387:3x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 5100839568000/(1x144)

LCM = 5100839568000/144

LCM = 35422497000

Thus, we can understand that the LCM of 106,750,264,628,387 is 35422497000.

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

• LCM of 392, 850, 811, 354, 164
• LCM of 805, 458, 454, 178, 196
• LCM of 889, 892, 229, 864, 516
• LCM of 848, 973, 431, 613, 748
• LCM of 437, 346, 608, 212, 127

1. What is the LCM of 106, 750, 264, 628, 387?

Answer: LCM of 106, 750, 264, 628, 387 is 35422497000.

2. How to calculate the LCM of 106, 750, 264, 628, 387?

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 106, 750, 264, 628, 387.

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}.