Given numbers are 685,450,110,578,780

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

The LCM of 685,450,110,578,780 is 5095619100.

Find LCM of 685,450,110,578,780 with Prime Factorization

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

2 x 3 x 5 x 137 x 15 x 11 x 289 x 26 = 5095619100

Therefore, the lowest common multiple of 685,450,110,578,780 is 5095619100.

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.

685 x 450 x 110 x 578 x 780 = 15286857300000

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.

685 : 1, 5, 137, 685

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

110 : 1, 2, 5, 10, 11, 22, 55, 110

578 : 1, 2, 17, 34, 289, 578

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 685,450,110,578,780, is 1.

Now, the common factors can be found like this.

685:5x 137

450:2x 3x 3x 5x 5

110:2x 5x 11

578:2x 17x 17

780:2x 2x 3x 5x 13

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 3x 5x 5x 5 = 3000

Therefore, the value for common factors is 3000.

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 = 15286857300000/(1x3000)

LCM = 15286857300000/3000

LCM = 5095619100

Thus, we can understand that the LCM of 685,450,110,578,780 is 5095619100.

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

• LCM of 209, 863, 233, 544, 798
• LCM of 616, 997, 796, 262, 994
• LCM of 803, 618, 616, 669, 994
• LCM of 666, 760, 990, 359, 495
• LCM of 327, 729, 973, 543, 999

1. What is the LCM of 685, 450, 110, 578, 780?

Answer: LCM of 685, 450, 110, 578, 780 is 5095619100.

2. How to calculate the LCM of 685, 450, 110, 578, 780?

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 685, 450, 110, 578, 780.

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}.