Given numbers are 857,135,350,920,680

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

The LCM of 857,135,350,920,680 is 12666288600.

Find LCM of 857,135,350,920,680 with Prime Factorization

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

2 x 2 x 2 x 5 x 857 x 27 x 35 x 23 x 17 = 12666288600

Therefore, the lowest common multiple of 857,135,350,920,680 is 12666288600.

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.

857 x 135 x 350 x 920 x 680 = 25332577200000

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.

857 : 1, 857

135 : 1, 3, 5, 9, 15, 27, 45, 135

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,135,350,920,680, is 1.

Now, the common factors can be found like this.

857:857

135:3x 3x 3x 5

350:2x 5x 5x 7

920:2x 2x 2x 5x 23

680:2x 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 5x 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 25332577200000/(1x2000)

LCM = 25332577200000/2000

LCM = 12666288600

Thus, we can understand that the LCM of 857,135,350,920,680 is 12666288600.

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

• LCM of 784, 741, 205, 778, 148
• LCM of 828, 469, 230, 840, 419
• LCM of 548, 602, 368, 862, 970
• LCM of 314, 590, 137, 260, 320
• LCM of 322, 174, 391, 517, 127

1. What is the LCM of 857, 135, 350, 920, 680?

Answer: LCM of 857, 135, 350, 920, 680 is 12666288600.

2. How to calculate the LCM of 857, 135, 350, 920, 680?

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 857, 135, 350, 920, 680.

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}.