Given numbers are 210,921,199,702,828

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

The LCM of 210,921,199,702,828 is 69048530460.

Find LCM of 210,921,199,702,828 with Prime Factorization

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

2 x 3 x 3 x 35 x 307 x 199 x 39 x 46 = 69048530460

Therefore, the lowest common multiple of 210,921,199,702,828 is 69048530460.

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.

210 x 921 x 199 x 702 x 828 = 22371723869040

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.

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

921 : 1, 3, 307, 921

199 : 1, 199

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,921,199,702,828, is 1.

Now, the common factors can be found like this.

210:2x 3x 5x 7

921:3x 307

199:199

702:2x 3x 3x 3x 13

828:2x 2x 3x 3x 23

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 22371723869040/(1x324)

LCM = 22371723869040/324

LCM = 69048530460

Thus, we can understand that the LCM of 210,921,199,702,828 is 69048530460.

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

• LCM of 115, 281, 934, 584, 803
• LCM of 127, 864, 266, 153, 243
• LCM of 758, 143, 754, 277, 471
• LCM of 797, 232, 111, 890, 581
• LCM of 622, 876, 144, 562, 410

1. What is the LCM of 210, 921, 199, 702, 828?

Answer: LCM of 210, 921, 199, 702, 828 is 69048530460.

2. How to calculate the LCM of 210, 921, 199, 702, 828?

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 210, 921, 199, 702, 828.

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}.