Given numbers are 298,816,458,461,473

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

The LCM of 298,816,458,461,473 is 6071192113008.

Find LCM of 298,816,458,461,473 with Prime Factorization

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

2 x 149 x 408 x 229 x 461 x 473 = 6071192113008

Therefore, the lowest common multiple of 298,816,458,461,473 is 6071192113008.

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.

298 x 816 x 458 x 461 x 473 = 24284768452032

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.

298 : 1, 2, 149, 298

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

458 : 1, 2, 229, 458

461 : 1, 461

473 : 1, 11, 43, 473

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,816,458,461,473, is 1.

Now, the common factors can be found like this.

298:2x 149

816:2x 2x 2x 2x 3x 17

458:2x 229

461:461

473:11x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 24284768452032/(1x4)

LCM = 24284768452032/4

LCM = 6071192113008

Thus, we can understand that the LCM of 298,816,458,461,473 is 6071192113008.

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

• LCM of 171, 638, 355, 426, 224
• LCM of 561, 998, 345, 632, 743
• LCM of 351, 655, 128, 658, 237
• LCM of 973, 602, 695, 875, 161
• LCM of 728, 115, 865, 459, 708

1. What is the LCM of 298, 816, 458, 461, 473?

Answer: LCM of 298, 816, 458, 461, 473 is 6071192113008.

2. How to calculate the LCM of 298, 816, 458, 461, 473?

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 298, 816, 458, 461, 473.

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}.