Given numbers are 578,177,468,104,214

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

The LCM of 578,177,468,104,214 is 1707691752.

Find LCM of 578,177,468,104,214 with Prime Factorization

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

2 x 2 x 3 x 13 x 289 x 59 x 3 x 2 x 107 = 1707691752

Therefore, the lowest common multiple of 578,177,468,104,214 is 1707691752.

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.

578 x 177 x 468 x 104 x 214 = 1065599653248

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.

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

177 : 1, 3, 59, 177

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

104 : 1, 2, 4, 8, 13, 26, 52, 104

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,177,468,104,214, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

177:3x 59

468:2x 2x 3x 3x 13

104:2x 2x 2x 13

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 2x 2x 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 1065599653248/(1x624)

LCM = 1065599653248/624

LCM = 1707691752

Thus, we can understand that the LCM of 578,177,468,104,214 is 1707691752.

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

• LCM of 726, 384, 141, 441, 990
• LCM of 698, 858, 945, 645, 353
• LCM of 620, 353, 587, 417, 245
• LCM of 264, 579, 311, 767, 756
• LCM of 383, 994, 718, 492, 429

1. What is the LCM of 578, 177, 468, 104, 214?

Answer: LCM of 578, 177, 468, 104, 214 is 1707691752.

2. How to calculate the LCM of 578, 177, 468, 104, 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 578, 177, 468, 104, 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}.