Given numbers are 860,120,260,406,614

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

The LCM of 860,120,260,406,614 is 4180492680.

Find LCM of 860,120,260,406,614 with Prime Factorization

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

2 x 2 x 5 x 43 x 6 x 13 x 203 x 307 = 4180492680

Therefore, the lowest common multiple of 860,120,260,406,614 is 4180492680.

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.

860 x 120 x 260 x 406 x 614 = 6688788288000

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.

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

406 : 1, 2, 7, 14, 29, 58, 203, 406

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,120,260,406,614, is 2.

Now, the common factors can be found like this.

860:2x 2x 5x 43

120:2x 2x 2x 3x 5

260:2x 2x 5x 13

406:2x 7x 29

614:2x 307

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 5 = 800

Therefore, the value for common factors is 800.

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 = 6688788288000/(2x800)

LCM = 6688788288000/1600

LCM = 4180492680

Thus, we can understand that the LCM of 860,120,260,406,614 is 4180492680.

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

• LCM of 326, 575, 895, 866, 626
• LCM of 633, 817, 973, 523, 940
• LCM of 772, 363, 478, 813, 325
• LCM of 485, 408, 940, 811, 748
• LCM of 104, 471, 181, 932, 671

1. What is the LCM of 860, 120, 260, 406, 614?

Answer: LCM of 860, 120, 260, 406, 614 is 4180492680.

2. How to calculate the LCM of 860, 120, 260, 406, 614?

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 860, 120, 260, 406, 614.

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}.