Given numbers are 322,252,641,854,238

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

The LCM of 322,252,641,854,238 is 3852699732.

Find LCM of 322,252,641,854,238 with Prime Factorization

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

2 x 7 x 23 x 18 x 641 x 61 x 17 = 3852699732

Therefore, the lowest common multiple of 322,252,641,854,238 is 3852699732.

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.

322 x 252 x 641 x 854 x 238 = 10571808064608

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

641 : 1, 641

854 : 1, 2, 7, 14, 61, 122, 427, 854

238 : 1, 2, 7, 14, 17, 34, 119, 238

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,252,641,854,238, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

252:2x 2x 3x 3x 7

641:641

854:2x 7x 61

238:2x 7x 17

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 7x 7x 7 = 2744

Therefore, the value for common factors is 2744.

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 = 10571808064608/(1x2744)

LCM = 10571808064608/2744

LCM = 3852699732

Thus, we can understand that the LCM of 322,252,641,854,238 is 3852699732.

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

• LCM of 933, 373, 250, 396, 985
• LCM of 140, 510, 699, 288, 845
• LCM of 848, 430, 683, 896, 755
• LCM of 901, 787, 785, 191, 267
• LCM of 204, 356, 584, 720, 218

1. What is the LCM of 322, 252, 641, 854, 238?

Answer: LCM of 322, 252, 641, 854, 238 is 3852699732.

2. How to calculate the LCM of 322, 252, 641, 854, 238?

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 322, 252, 641, 854, 238.

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}.