Given numbers are 904,564,133,214,986

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

The LCM of 904,564,133,214,986 is 894272510712.

Find LCM of 904,564,133,214,986 with Prime Factorization

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

2 x 2 x 226 x 141 x 133 x 107 x 493 = 894272510712

Therefore, the lowest common multiple of 904,564,133,214,986 is 894272510712.

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.

904 x 564 x 133 x 214 x 986 = 14308360171392

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.

904 : 1, 2, 4, 8, 113, 226, 452, 904

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

133 : 1, 7, 19, 133

214 : 1, 2, 107, 214

986 : 1, 2, 17, 29, 34, 58, 493, 986

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,564,133,214,986, is 1.

Now, the common factors can be found like this.

904:2x 2x 2x 113

564:2x 2x 3x 47

133:7x 19

214:2x 107

986:2x 17x 29

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 2 = 16

Therefore, the value for common factors is 16.

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 = 14308360171392/(1x16)

LCM = 14308360171392/16

LCM = 894272510712

Thus, we can understand that the LCM of 904,564,133,214,986 is 894272510712.

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

• LCM of 915, 957, 229, 534, 726
• LCM of 423, 291, 332, 877, 351
• LCM of 486, 123, 109, 252, 326
• LCM of 488, 331, 535, 507, 767
• LCM of 194, 360, 951, 314, 514

1. What is the LCM of 904, 564, 133, 214, 986?

Answer: LCM of 904, 564, 133, 214, 986 is 894272510712.

2. How to calculate the LCM of 904, 564, 133, 214, 986?

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 904, 564, 133, 214, 986.

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}.