Given numbers are 109,572,121,305,221

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

The LCM of 109,572,121,305,221 is 3556018180.

Find LCM of 109,572,121,305,221 with Prime Factorization

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

11 x 13 x 109 x 4 x 11 x 305 x 17 = 3556018180

Therefore, the lowest common multiple of 109,572,121,305,221 is 3556018180.

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.

109 x 572 x 121 x 305 x 221 = 508510599740

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.

109 : 1, 109

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

121 : 1, 11, 121

305 : 1, 5, 61, 305

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,572,121,305,221, is 1.

Now, the common factors can be found like this.

109:109

572:2x 2x 11x 13

121:11x 11

305:5x 61

221:13x 17

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 508510599740/(1x143)

LCM = 508510599740/143

LCM = 3556018180

Thus, we can understand that the LCM of 109,572,121,305,221 is 3556018180.

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

• LCM of 720, 778, 284, 402, 907
• LCM of 398, 691, 112, 934, 926
• LCM of 451, 602, 333, 127, 736
• LCM of 249, 749, 299, 853, 290
• LCM of 857, 180, 140, 592, 269

1. What is the LCM of 109, 572, 121, 305, 221?

Answer: LCM of 109, 572, 121, 305, 221 is 3556018180.

2. How to calculate the LCM of 109, 572, 121, 305, 221?

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 109, 572, 121, 305, 221.

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}.