Given numbers are 214,298,578,949

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

The LCM of 214,298,578,949 is 8745086246.

Find LCM of 214,298,578,949 with Prime Factorization

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

2 x 107 x 149 x 289 x 949 = 8745086246

Therefore, the lowest common multiple of 214,298,578,949 is 8745086246.

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.

214 x 298 x 578 x 949 = 34980344984

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.

214 : 1, 2, 107, 214

298 : 1, 2, 149, 298

578 : 1, 2, 17, 34, 289, 578

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,298,578,949, is 1.

Now, the common factors can be found like this.

214:2x 107

298:2x 149

578:2x 17x 17

949:13x 73

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 = 34980344984/(1x4)

LCM = 34980344984/4

LCM = 8745086246

Thus, we can understand that the LCM of 214,298,578,949 is 8745086246.

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

• LCM of 320, 372, 391, 315
• LCM of 597, 451, 596, 188
• LCM of 872, 235, 990, 219
• LCM of 490, 227, 541, 970
• LCM of 332, 851, 104, 494

1. What is the LCM of 214, 298, 578, 949?

Answer: LCM of 214, 298, 578, 949 is 8745086246.

2. How to calculate the LCM of 214, 298, 578, 949?

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 214, 298, 578, 949.

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}.