Given numbers are 140,204,344,169,727

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

The LCM of 140,204,344,169,727 is 75442796520.

Find LCM of 140,204,344,169,727 with Prime Factorization

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

2 x 2 x 35 x 51 x 86 x 169 x 727 = 75442796520

Therefore, the lowest common multiple of 140,204,344,169,727 is 75442796520.

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.

140 x 204 x 344 x 169 x 727 = 1207084744320

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.

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

344 : 1, 2, 4, 8, 43, 86, 172, 344

169 : 1, 13, 169

727 : 1, 727

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 140,204,344,169,727, is 1.

Now, the common factors can be found like this.

140:2x 2x 5x 7

204:2x 2x 3x 17

344:2x 2x 2x 43

169:13x 13

727:727

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 = 1207084744320/(1x16)

LCM = 1207084744320/16

LCM = 75442796520

Thus, we can understand that the LCM of 140,204,344,169,727 is 75442796520.

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

• LCM of 254, 647, 322, 462, 807
• LCM of 986, 539, 359, 722, 246
• LCM of 532, 490, 901, 389, 962
• LCM of 621, 203, 438, 693, 258
• LCM of 456, 773, 440, 778, 390

1. What is the LCM of 140, 204, 344, 169, 727?

Answer: LCM of 140, 204, 344, 169, 727 is 75442796520.

2. How to calculate the LCM of 140, 204, 344, 169, 727?

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 140, 204, 344, 169, 727.

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}.