Given numbers are 106,112,471,490,322

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

The LCM of 106,112,471,490,322 is 2250664080.

Find LCM of 106,112,471,490,322 with Prime Factorization

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

2 x 7 x 53 x 8 x 471 x 35 x 23 = 2250664080

Therefore, the lowest common multiple of 106,112,471,490,322 is 2250664080.

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 112 x 471 x 490 x 322 = 882260319360

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

471 : 1, 3, 157, 471

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,112,471,490,322, is 1.

Now, the common factors can be found like this.

106:2x 53

112:2x 2x 2x 2x 7

471:3x 157

490:2x 5x 7x 7

322:2x 7x 23

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 7 = 392

Therefore, the value for common factors is 392.

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 = 882260319360/(1x392)

LCM = 882260319360/392

LCM = 2250664080

Thus, we can understand that the LCM of 106,112,471,490,322 is 2250664080.

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

• LCM of 371, 617, 365, 211, 382
• LCM of 602, 947, 573, 492, 984
• LCM of 562, 726, 451, 579, 626
• LCM of 623, 775, 810, 812, 611
• LCM of 171, 829, 533, 270, 658

1. What is the LCM of 106, 112, 471, 490, 322?

Answer: LCM of 106, 112, 471, 490, 322 is 2250664080.

2. How to calculate the LCM of 106, 112, 471, 490, 322?

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, 112, 471, 490, 322.

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}.