Given numbers are 354,817,714,360

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

The LCM of 354,817,714,360 is 2065016520.

Find LCM of 354,817,714,360 with Prime Factorization

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

2 x 3 x 59 x 817 x 119 x 60 = 2065016520

Therefore, the lowest common multiple of 354,817,714,360 is 2065016520.

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.

354 x 817 x 714 x 360 = 74340594720

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.

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

817 : 1, 19, 43, 817

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,817,714,360, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

817:19x 43

714:2x 3x 7x 17

360:2x 2x 2x 3x 3x 5

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 74340594720/(1x36)

LCM = 74340594720/36

LCM = 2065016520

Thus, we can understand that the LCM of 354,817,714,360 is 2065016520.

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

• LCM of 341, 803, 377, 387
• LCM of 629, 964, 736, 588
• LCM of 735, 745, 599, 318
• LCM of 594, 699, 505, 237
• LCM of 775, 174, 717, 385

1. What is the LCM of 354, 817, 714, 360?

Answer: LCM of 354, 817, 714, 360 is 2065016520.

2. How to calculate the LCM of 354, 817, 714, 360?

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 354, 817, 714, 360.

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}.