Given numbers are 106,228,642,152,952

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

The LCM of 106,228,642,152,952 is 307731144.

Find LCM of 106,228,642,152,952 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 53 x 1 x 107 x 1 x 119 = 307731144

Therefore, the lowest common multiple of 106,228,642,152,952 is 307731144.

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 228 x 642 x 152 x 952 = 2245206426624

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

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

642 : 1, 2, 3, 6, 107, 214, 321, 642

152 : 1, 2, 4, 8, 19, 38, 76, 152

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,228,642,152,952, is 2.

Now, the common factors can be found like this.

106:2x 53

228:2x 2x 3x 19

642:2x 3x 107

152:2x 2x 2x 19

952:2x 2x 2x 7x 17

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 2x 3x 19 = 3648

Therefore, the value for common factors is 3648.

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 = 2245206426624/(2x3648)

LCM = 2245206426624/7296

LCM = 307731144

Thus, we can understand that the LCM of 106,228,642,152,952 is 307731144.

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

• LCM of 601, 626, 354, 654, 636
• LCM of 532, 987, 255, 267, 258
• LCM of 847, 552, 586, 898, 591
• LCM of 544, 179, 758, 953, 813
• LCM of 436, 468, 285, 651, 894

1. What is the LCM of 106, 228, 642, 152, 952?

Answer: LCM of 106, 228, 642, 152, 952 is 307731144.

2. How to calculate the LCM of 106, 228, 642, 152, 952?

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, 228, 642, 152, 952.

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}.