Given numbers are 579,243,357,336,214

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

The LCM of 579,243,357,336,214 is 9554639472.

Find LCM of 579,243,357,336,214 with Prime Factorization

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

2 x 3 x 7 x 193 x 81 x 17 x 8 x 107 = 9554639472

Therefore, the lowest common multiple of 579,243,357,336,214 is 9554639472.

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.

579 x 243 x 357 x 336 x 214 = 3611653720416

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.

579 : 1, 3, 193, 579

243 : 1, 3, 9, 27, 81, 243

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,243,357,336,214, is 1.

Now, the common factors can be found like this.

579:3x 193

243:3x 3x 3x 3x 3

357:3x 7x 17

336:2x 2x 2x 2x 3x 7

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 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 3611653720416/(1x378)

LCM = 3611653720416/378

LCM = 9554639472

Thus, we can understand that the LCM of 579,243,357,336,214 is 9554639472.

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

• LCM of 691, 623, 759, 911, 129
• LCM of 966, 994, 762, 192, 547
• LCM of 899, 505, 295, 238, 901
• LCM of 927, 157, 500, 915, 369
• LCM of 466, 472, 206, 632, 948

1. What is the LCM of 579, 243, 357, 336, 214?

Answer: LCM of 579, 243, 357, 336, 214 is 9554639472.

2. How to calculate the LCM of 579, 243, 357, 336, 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 579, 243, 357, 336, 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}.