Given numbers are 198,514,921,186,360

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

The LCM of 198,514,921,186,360 is 9685641240.

Find LCM of 198,514,921,186,360 with Prime Factorization

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

2 x 3 x 3 x 11 x 257 x 307 x 31 x 20 = 9685641240

Therefore, the lowest common multiple of 198,514,921,186,360 is 9685641240.

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 514 x 921 x 186 x 360 = 6276295523520

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

514 : 1, 2, 257, 514

921 : 1, 3, 307, 921

186 : 1, 2, 3, 6, 31, 62, 93, 186

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,514,921,186,360, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

514:2x 257

921:3x 307

186:2x 3x 31

360:2x 2x 2x 3x 3x 5

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 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 6276295523520/(1x648)

LCM = 6276295523520/648

LCM = 9685641240

Thus, we can understand that the LCM of 198,514,921,186,360 is 9685641240.

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

• LCM of 567, 900, 305, 156, 390
• LCM of 842, 953, 724, 210, 547
• LCM of 786, 487, 224, 911, 678
• LCM of 809, 566, 964, 230, 278
• LCM of 355, 171, 850, 174, 424

1. What is the LCM of 198, 514, 921, 186, 360?

Answer: LCM of 198, 514, 921, 186, 360 is 9685641240.

2. How to calculate the LCM of 198, 514, 921, 186, 360?

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, 514, 921, 186, 360.

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}.