Given numbers are 298,213,918,966,716

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

The LCM of 298,213,918,966,716 is 559752705036.

Find LCM of 298,213,918,966,716 with Prime Factorization

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

2 x 3 x 149 x 71 x 153 x 161 x 358 = 559752705036

Therefore, the lowest common multiple of 298,213,918,966,716 is 559752705036.

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 213 x 918 x 966 x 716 = 40302194762592

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

213 : 1, 3, 71, 213

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,213,918,966,716, is 1.

Now, the common factors can be found like this.

298:2x 149

213:3x 71

918:2x 3x 3x 3x 17

966:2x 3x 7x 23

716:2x 2x 179

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 3 = 72

Therefore, the value for common factors is 72.

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 = 40302194762592/(1x72)

LCM = 40302194762592/72

LCM = 559752705036

Thus, we can understand that the LCM of 298,213,918,966,716 is 559752705036.

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

• LCM of 160, 704, 274, 333, 500
• LCM of 336, 742, 579, 560, 647
• LCM of 374, 960, 339, 960, 158
• LCM of 102, 934, 493, 243, 470
• LCM of 389, 305, 657, 156, 930

1. What is the LCM of 298, 213, 918, 966, 716?

Answer: LCM of 298, 213, 918, 966, 716 is 559752705036.

2. How to calculate the LCM of 298, 213, 918, 966, 716?

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, 213, 918, 966, 716.

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}.