Given numbers are 198,875,312,970,780

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

The LCM of 198,875,312,970,780 is 873873000.

Find LCM of 198,875,312,970,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 33 x 175 x 2 x 97 x 1 = 873873000

Therefore, the lowest common multiple of 198,875,312,970,780 is 873873000.

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.

198 x 875 x 312 x 970 x 780 = 40897256400000

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

875 : 1, 5, 7, 25, 35, 125, 175, 875

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

970 : 1, 2, 5, 10, 97, 194, 485, 970

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 198,875,312,970,780, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

875:5x 5x 5x 7

312:2x 2x 2x 3x 13

970:2x 5x 97

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 2x 3x 3x 5x 5x 13 = 46800

Therefore, the value for common factors is 46800.

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 = 40897256400000/(1x46800)

LCM = 40897256400000/46800

LCM = 873873000

Thus, we can understand that the LCM of 198,875,312,970,780 is 873873000.

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

• LCM of 738, 737, 172, 514, 624
• LCM of 229, 611, 234, 960, 755
• LCM of 378, 464, 548, 625, 678
• LCM of 197, 278, 859, 989, 811
• LCM of 448, 810, 440, 630, 104

1. What is the LCM of 198, 875, 312, 970, 780?

Answer: LCM of 198, 875, 312, 970, 780 is 873873000.

2. How to calculate the LCM of 198, 875, 312, 970, 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 198, 875, 312, 970, 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}.