Given numbers are 198,376,624,470,893

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

The LCM of 198,376,624,470,893 is 91943280.

Find LCM of 198,376,624,470,893 with Prime Factorization

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

2 x 2 x 2 x 3 x 47 x 33 x 1 x 26 x 5 x 19 = 91943280

Therefore, the lowest common multiple of 198,376,624,470,893 is 91943280.

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 376 x 624 x 470 x 893 = 19497859729920

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

376 : 1, 2, 4, 8, 47, 94, 188, 376

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

470 : 1, 2, 5, 10, 47, 94, 235, 470

893 : 1, 19, 47, 893

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,376,624,470,893, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

376:2x 2x 2x 47

624:2x 2x 2x 2x 3x 13

470:2x 5x 47

893:19x 47

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 2x 3x 47x 47 = 212064

Therefore, the value for common factors is 212064.

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 = 19497859729920/(1x212064)

LCM = 19497859729920/212064

LCM = 91943280

Thus, we can understand that the LCM of 198,376,624,470,893 is 91943280.

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

• LCM of 783, 490, 337, 845, 933
• LCM of 800, 985, 566, 304, 557
• LCM of 163, 486, 604, 479, 803
• LCM of 676, 977, 697, 449, 556
• LCM of 528, 308, 968, 312, 281

1. What is the LCM of 198, 376, 624, 470, 893?

Answer: LCM of 198, 376, 624, 470, 893 is 91943280.

2. How to calculate the LCM of 198, 376, 624, 470, 893?

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, 376, 624, 470, 893.

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}.