Given numbers are 340,379,971,476,864

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

The LCM of 340,379,971,476,864 is 189186066720.

Find LCM of 340,379,971,476,864 with Prime Factorization

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

2 x 2 x 17 x 5 x 379 x 971 x 7 x 216 = 189186066720

Therefore, the lowest common multiple of 340,379,971,476,864 is 189186066720.

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.

340 x 379 x 971 x 476 x 864 = 51458610147840

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

379 : 1, 379

971 : 1, 971

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,379,971,476,864, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

379:379

971:971

476:2x 2x 7x 17

864:2x 2x 2x 2x 2x 3x 3x 3

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 17 = 272

Therefore, the value for common factors is 272.

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 = 51458610147840/(1x272)

LCM = 51458610147840/272

LCM = 189186066720

Thus, we can understand that the LCM of 340,379,971,476,864 is 189186066720.

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

• LCM of 829, 333, 859, 763, 101
• LCM of 565, 290, 280, 655, 722
• LCM of 256, 761, 262, 597, 490
• LCM of 357, 811, 742, 755, 870
• LCM of 189, 454, 840, 466, 845

1. What is the LCM of 340, 379, 971, 476, 864?

Answer: LCM of 340, 379, 971, 476, 864 is 189186066720.

2. How to calculate the LCM of 340, 379, 971, 476, 864?

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 340, 379, 971, 476, 864.

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}.