Given numbers are 817,132,190,209,779

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

The LCM of 817,132,190,209,779 is 22108020.

Find LCM of 817,132,190,209,779 with Prime Factorization

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

2 x 11 x 19 x 43 x 6 x 5 x 1 x 41 = 22108020

Therefore, the lowest common multiple of 817,132,190,209,779 is 22108020.

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.

817 x 132 x 190 x 209 x 779 = 3336056001960

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.

817 : 1, 19, 43, 817

132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

190 : 1, 2, 5, 10, 19, 38, 95, 190

209 : 1, 11, 19, 209

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,132,190,209,779, is 1.

Now, the common factors can be found like this.

817:19x 43

132:2x 2x 3x 11

190:2x 5x 19

209:11x 19

779:19x 41

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

2x 11x 19x 19x 19 = 150898

Therefore, the value for common factors is 150898.

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 = 3336056001960/(1x150898)

LCM = 3336056001960/150898

LCM = 22108020

Thus, we can understand that the LCM of 817,132,190,209,779 is 22108020.

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

• LCM of 815, 450, 501, 976, 137
• LCM of 257, 630, 226, 927, 150
• LCM of 253, 514, 507, 299, 992
• LCM of 617, 976, 465, 142, 251
• LCM of 305, 903, 841, 490, 493

1. What is the LCM of 817, 132, 190, 209, 779?

Answer: LCM of 817, 132, 190, 209, 779 is 22108020.

2. How to calculate the LCM of 817, 132, 190, 209, 779?

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 817, 132, 190, 209, 779.

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}.