Given numbers are 364,910,688,354,340

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

The LCM of 364,910,688,354,340 is 941937360.

Find LCM of 364,910,688,354,340 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 1 x 1 x 172 x 177 x 17 = 941937360

Therefore, the lowest common multiple of 364,910,688,354,340 is 941937360.

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.

364 x 910 x 688 x 354 x 340 = 27429215923200

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,910,688,354,340, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

910:2x 5x 7x 13

688:2x 2x 2x 2x 43

354:2x 3x 59

340:2x 2x 5x 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 2x 2x 5x 7x 13 = 14560

Therefore, the value for common factors is 14560.

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 = 27429215923200/(2x14560)

LCM = 27429215923200/29120

LCM = 941937360

Thus, we can understand that the LCM of 364,910,688,354,340 is 941937360.

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

• LCM of 718, 923, 897, 118, 379
• LCM of 133, 694, 159, 662, 229
• LCM of 442, 870, 607, 309, 102
• LCM of 940, 492, 235, 320, 142
• LCM of 246, 929, 841, 612, 162

1. What is the LCM of 364, 910, 688, 354, 340?

Answer: LCM of 364, 910, 688, 354, 340 is 941937360.

2. How to calculate the LCM of 364, 910, 688, 354, 340?

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 364, 910, 688, 354, 340.

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}.