Given numbers are 210,974,206,346,204

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

The LCM of 210,974,206,346,204 is 61959870420.

Find LCM of 210,974,206,346,204 with Prime Factorization

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

2 x 3 x 35 x 487 x 103 x 173 x 34 = 61959870420

Therefore, the lowest common multiple of 210,974,206,346,204 is 61959870420.

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 974 x 206 x 346 x 204 = 2974073780160

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

974 : 1, 2, 487, 974

206 : 1, 2, 103, 206

346 : 1, 2, 173, 346

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,974,206,346,204, is 2.

Now, the common factors can be found like this.

210:2x 3x 5x 7

974:2x 487

206:2x 103

346:2x 173

204:2x 2x 3x 17

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 3 = 24

Therefore, the value for common factors is 24.

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 = 2974073780160/(2x24)

LCM = 2974073780160/48

LCM = 61959870420

Thus, we can understand that the LCM of 210,974,206,346,204 is 61959870420.

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

• LCM of 355, 266, 614, 423, 999
• LCM of 716, 551, 133, 748, 799
• LCM of 953, 192, 486, 304, 258
• LCM of 110, 284, 176, 321, 453
• LCM of 160, 511, 152, 479, 373

1. What is the LCM of 210, 974, 206, 346, 204?

Answer: LCM of 210, 974, 206, 346, 204 is 61959870420.

2. How to calculate the LCM of 210, 974, 206, 346, 204?

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, 974, 206, 346, 204.

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}.