Given numbers are 298,357,216,214

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

The LCM of 298,357,216,214 is 409798872.

Find LCM of 298,357,216,214 with Prime Factorization

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

2 x 3 x 149 x 119 x 36 x 107 = 409798872

Therefore, the lowest common multiple of 298,357,216,214 is 409798872.

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 357 x 216 x 214 = 4917586464

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,357,216,214, is 1.

Now, the common factors can be found like this.

298:2x 149

357:3x 7x 17

216:2x 2x 2x 3x 3x 3

214:2x 107

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 3 = 12

Therefore, the value for common factors is 12.

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 = 4917586464/(1x12)

LCM = 4917586464/12

LCM = 409798872

Thus, we can understand that the LCM of 298,357,216,214 is 409798872.

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

• LCM of 220, 862, 573, 122
• LCM of 433, 556, 562, 775
• LCM of 121, 372, 626, 436
• LCM of 416, 424, 856, 215
• LCM of 120, 863, 991, 204

1. What is the LCM of 298, 357, 216, 214?

Answer: LCM of 298, 357, 216, 214 is 409798872.

2. How to calculate the LCM of 298, 357, 216, 214?

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, 357, 216, 214.

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}.