Given numbers are 209,260,972,667,916

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

The LCM of 209,260,972,667,916 is 2016913272660.

Find LCM of 209,260,972,667,916 with Prime Factorization

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

2 x 2 x 209 x 65 x 243 x 667 x 229 = 2016913272660

Therefore, the lowest common multiple of 209,260,972,667,916 is 2016913272660.

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.

209 x 260 x 972 x 667 x 916 = 32270612362560

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.

209 : 1, 11, 19, 209

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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

667 : 1, 23, 29, 667

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,260,972,667,916, is 1.

Now, the common factors can be found like this.

209:11x 19

260:2x 2x 5x 13

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

667:23x 29

916:2x 2x 229

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 2 = 16

Therefore, the value for common factors is 16.

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 = 32270612362560/(1x16)

LCM = 32270612362560/16

LCM = 2016913272660

Thus, we can understand that the LCM of 209,260,972,667,916 is 2016913272660.

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

• LCM of 628, 931, 176, 293, 962
• LCM of 727, 431, 878, 198, 480
• LCM of 830, 978, 988, 195, 818
• LCM of 851, 108, 550, 657, 973
• LCM of 177, 249, 622, 190, 808

1. What is the LCM of 209, 260, 972, 667, 916?

Answer: LCM of 209, 260, 972, 667, 916 is 2016913272660.

2. How to calculate the LCM of 209, 260, 972, 667, 916?

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 209, 260, 972, 667, 916.

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}.