Given numbers are 341,261,869,238,310

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

The LCM of 341,261,869,238,310 is 8366984010.

Find LCM of 341,261,869,238,310 with Prime Factorization

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

2 x 11 x 31 x 1 x 261 x 79 x 119 x 5 = 8366984010

Therefore, the lowest common multiple of 341,261,869,238,310 is 8366984010.

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.

341 x 261 x 869 x 238 x 310 = 5706283094820

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.

341 : 1, 11, 31, 341

261 : 1, 3, 9, 29, 87, 261

869 : 1, 11, 79, 869

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

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,261,869,238,310, is 1.

Now, the common factors can be found like this.

341:11x 31

261:3x 3x 29

869:11x 79

238:2x 7x 17

310:2x 5x 31

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 31 = 682

Therefore, the value for common factors is 682.

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 = 5706283094820/(1x682)

LCM = 5706283094820/682

LCM = 8366984010

Thus, we can understand that the LCM of 341,261,869,238,310 is 8366984010.

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

• LCM of 631, 739, 378, 665, 298
• LCM of 923, 760, 882, 800, 907
• LCM of 558, 225, 992, 458, 491
• LCM of 380, 233, 470, 451, 783
• LCM of 561, 218, 610, 413, 707

1. What is the LCM of 341, 261, 869, 238, 310?

Answer: LCM of 341, 261, 869, 238, 310 is 8366984010.

2. How to calculate the LCM of 341, 261, 869, 238, 310?

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 341, 261, 869, 238, 310.

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}.