Given numbers are 198,880,614,341,264

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

The LCM of 198,880,614,341,264 is 75374640.

Find LCM of 198,880,614,341,264 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 1 x 10 x 307 x 31 x 3 = 75374640

Therefore, the lowest common multiple of 198,880,614,341,264 is 75374640.

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 880 x 614 x 341 x 264 = 9631070000640

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

614 : 1, 2, 307, 614

341 : 1, 11, 31, 341

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,880,614,341,264, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

880:2x 2x 2x 2x 5x 11

614:2x 307

341:11x 31

264:2x 2x 2x 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 2x 2x 2x 2x 3x 11x 11x 11 = 127776

Therefore, the value for common factors is 127776.

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 = 9631070000640/(1x127776)

LCM = 9631070000640/127776

LCM = 75374640

Thus, we can understand that the LCM of 198,880,614,341,264 is 75374640.

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

• LCM of 620, 856, 229, 782, 507
• LCM of 964, 188, 870, 990, 196
• LCM of 592, 559, 763, 711, 828
• LCM of 290, 248, 851, 663, 442
• LCM of 982, 940, 972, 802, 640

1. What is the LCM of 198, 880, 614, 341, 264?

Answer: LCM of 198, 880, 614, 341, 264 is 75374640.

2. How to calculate the LCM of 198, 880, 614, 341, 264?

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, 880, 614, 341, 264.

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}.