Given numbers are 840,865,860,570,714

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

The LCM of 840,865,860,570,714 is 2018349480.

Find LCM of 840,865,860,570,714 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 2 x 173 x 43 x 19 x 17 = 2018349480

Therefore, the lowest common multiple of 840,865,860,570,714 is 2018349480.

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.

840 x 865 x 860 x 570 x 714 = 254312034480000

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

865 : 1, 5, 173, 865

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 840,865,860,570,714, is 1.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

865:5x 173

860:2x 2x 5x 43

570:2x 3x 5x 19

714:2x 3x 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 2x 3x 3x 5x 5x 5x 7 = 126000

Therefore, the value for common factors is 126000.

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 = 254312034480000/(1x126000)

LCM = 254312034480000/126000

LCM = 2018349480

Thus, we can understand that the LCM of 840,865,860,570,714 is 2018349480.

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

• LCM of 715, 441, 975, 856, 405
• LCM of 768, 393, 501, 251, 706
• LCM of 352, 809, 758, 854, 210
• LCM of 356, 872, 239, 686, 896
• LCM of 679, 175, 280, 758, 860

1. What is the LCM of 840, 865, 860, 570, 714?

Answer: LCM of 840, 865, 860, 570, 714 is 2018349480.

2. How to calculate the LCM of 840, 865, 860, 570, 714?

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 840, 865, 860, 570, 714.

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}.