Given numbers are 106,902,208,972

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

The LCM of 106,902,208,972 is 1208153232.

Find LCM of 106,902,208,972 with Prime Factorization

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

2 x 2 x 53 x 451 x 52 x 243 = 1208153232

Therefore, the lowest common multiple of 106,902,208,972 is 1208153232.

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 902 x 208 x 972 = 19330451712

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

902 : 1, 2, 11, 22, 41, 82, 451, 902

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,902,208,972, is 2.

Now, the common factors can be found like this.

106:2x 53

902:2x 11x 41

208:2x 2x 2x 2x 13

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 19330451712/(2x8)

LCM = 19330451712/16

LCM = 1208153232

Thus, we can understand that the LCM of 106,902,208,972 is 1208153232.

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

• LCM of 736, 353, 846, 596
• LCM of 635, 329, 373, 668
• LCM of 972, 235, 932, 365
• LCM of 492, 713, 242, 695
• LCM of 385, 284, 615, 399

1. What is the LCM of 106, 902, 208, 972?

Answer: LCM of 106, 902, 208, 972 is 1208153232.

2. How to calculate the LCM of 106, 902, 208, 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, 902, 208, 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}.