Given numbers are 975,289,840,198

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

The LCM of 975,289,840,198 is 520720200.

Find LCM of 975,289,840,198 with Prime Factorization

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

2 x 3 x 5 x 65 x 289 x 28 x 33 = 520720200

Therefore, the lowest common multiple of 975,289,840,198 is 520720200.

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.

975 x 289 x 840 x 198 = 46864818000

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.

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

289 : 1, 17, 289

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 975,289,840,198, is 1.

Now, the common factors can be found like this.

975:3x 5x 5x 13

289:17x 17

840:2x 2x 2x 3x 5x 7

198:2x 3x 3x 11

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 46864818000/(1x90)

LCM = 46864818000/90

LCM = 520720200

Thus, we can understand that the LCM of 975,289,840,198 is 520720200.

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

• LCM of 353, 269, 581, 760
• LCM of 203, 158, 387, 588
• LCM of 561, 201, 662, 482
• LCM of 629, 609, 772, 443
• LCM of 625, 555, 226, 292

1. What is the LCM of 975, 289, 840, 198?

Answer: LCM of 975, 289, 840, 198 is 520720200.

2. How to calculate the LCM of 975, 289, 840, 198?

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 975, 289, 840, 198.

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}.