Given numbers are 214,489,200,163,551

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

The LCM of 214,489,200,163,551 is 5765994600.

Find LCM of 214,489,200,163,551 with Prime Factorization

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

2 x 163 x 107 x 3 x 100 x 1 x 551 = 5765994600

Therefore, the lowest common multiple of 214,489,200,163,551 is 5765994600.

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 489 x 200 x 163 x 551 = 1879714239600

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

489 : 1, 3, 163, 489

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

163 : 1, 163

551 : 1, 19, 29, 551

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,489,200,163,551, is 1.

Now, the common factors can be found like this.

214:2x 107

489:3x 163

200:2x 2x 2x 5x 5

163:163

551:19x 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 163 = 326

Therefore, the value for common factors is 326.

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 = 1879714239600/(1x326)

LCM = 1879714239600/326

LCM = 5765994600

Thus, we can understand that the LCM of 214,489,200,163,551 is 5765994600.

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

• LCM of 561, 591, 211, 167, 752
• LCM of 935, 210, 459, 781, 880
• LCM of 666, 507, 319, 534, 168
• LCM of 889, 148, 666, 538, 223
• LCM of 285, 615, 451, 674, 295

1. What is the LCM of 214, 489, 200, 163, 551?

Answer: LCM of 214, 489, 200, 163, 551 is 5765994600.

2. How to calculate the LCM of 214, 489, 200, 163, 551?

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, 489, 200, 163, 551.

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}.