Given numbers are 260,680,600,370,778

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

The LCM of 260,680,600,370,778 is 1908511800.

Find LCM of 260,680,600,370,778 with Prime Factorization

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

2 x 2 x 2 x 5 x 13 x 17 x 15 x 37 x 389 = 1908511800

Therefore, the lowest common multiple of 260,680,600,370,778 is 1908511800.

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.

260 x 680 x 600 x 370 x 778 = 30536188800000

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.

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

370 : 1, 2, 5, 10, 37, 74, 185, 370

778 : 1, 2, 389, 778

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,680,600,370,778, is 2.

Now, the common factors can be found like this.

260:2x 2x 5x 13

680:2x 2x 2x 5x 17

600:2x 2x 2x 3x 5x 5

370:2x 5x 37

778:2x 389

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 2x 5x 5x 5 = 8000

Therefore, the value for common factors is 8000.

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 = 30536188800000/(2x8000)

LCM = 30536188800000/16000

LCM = 1908511800

Thus, we can understand that the LCM of 260,680,600,370,778 is 1908511800.

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

• LCM of 525, 914, 993, 543, 758
• LCM of 223, 337, 749, 464, 713
• LCM of 113, 665, 810, 743, 432
• LCM of 886, 899, 184, 274, 515
• LCM of 720, 452, 693, 549, 527

1. What is the LCM of 260, 680, 600, 370, 778?

Answer: LCM of 260, 680, 600, 370, 778 is 1908511800.

2. How to calculate the LCM of 260, 680, 600, 370, 778?

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 260, 680, 600, 370, 778.

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}.