Given numbers are 121,648,416,272,319

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

The LCM of 121,648,416,272,319 is 2010067488.

Find LCM of 121,648,416,272,319 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 11 x 81 x 26 x 17 x 29 = 2010067488

Therefore, the lowest common multiple of 121,648,416,272,319 is 2010067488.

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.

121 x 648 x 416 x 272 x 319 = 2830175023104

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.

121 : 1, 11, 121

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 121,648,416,272,319, is 1.

Now, the common factors can be found like this.

121:11x 11

648:2x 2x 2x 3x 3x 3x 3

416:2x 2x 2x 2x 2x 13

272:2x 2x 2x 2x 17

319:11x 29

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 2x 2x 2x 2x 11 = 1408

Therefore, the value for common factors is 1408.

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 = 2830175023104/(1x1408)

LCM = 2830175023104/1408

LCM = 2010067488

Thus, we can understand that the LCM of 121,648,416,272,319 is 2010067488.

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

• LCM of 194, 522, 841, 301, 210
• LCM of 499, 852, 424, 366, 428
• LCM of 568, 544, 138, 450, 932
• LCM of 534, 122, 289, 370, 263
• LCM of 739, 696, 646, 276, 375

1. What is the LCM of 121, 648, 416, 272, 319?

Answer: LCM of 121, 648, 416, 272, 319 is 2010067488.

2. How to calculate the LCM of 121, 648, 416, 272, 319?

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 121, 648, 416, 272, 319.

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}.