Given numbers are 106,215,826,349,972

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

The LCM of 106,215,826,349,972 is 1596452763780.

Find LCM of 106,215,826,349,972 with Prime Factorization

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

2 x 53 x 215 x 413 x 349 x 486 = 1596452763780

Therefore, the lowest common multiple of 106,215,826,349,972 is 1596452763780.

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 215 x 826 x 349 x 972 = 6385811055120

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

215 : 1, 5, 43, 215

826 : 1, 2, 7, 14, 59, 118, 413, 826

349 : 1, 349

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,215,826,349,972, is 1.

Now, the common factors can be found like this.

106:2x 53

215:5x 43

826:2x 7x 59

349:349

972:2x 2x 3x 3x 3x 3x 3

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6385811055120/(1x4)

LCM = 6385811055120/4

LCM = 1596452763780

Thus, we can understand that the LCM of 106,215,826,349,972 is 1596452763780.

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

• LCM of 259, 976, 142, 243, 683
• LCM of 393, 359, 534, 101, 977
• LCM of 369, 745, 860, 898, 628
• LCM of 882, 899, 632, 920, 675
• LCM of 457, 630, 949, 881, 896

1. What is the LCM of 106, 215, 826, 349, 972?

Answer: LCM of 106, 215, 826, 349, 972 is 1596452763780.

2. How to calculate the LCM of 106, 215, 826, 349, 972?

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, 215, 826, 349, 972.

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}.