Given numbers are 214,207,239,210

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

The LCM of 214,207,239,210 is 370552770.

Find LCM of 214,207,239,210 with Prime Factorization

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

2 x 3 x 107 x 69 x 239 x 35 = 370552770

Therefore, the lowest common multiple of 214,207,239,210 is 370552770.

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 207 x 239 x 210 = 2223316620

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

207 : 1, 3, 9, 23, 69, 207

239 : 1, 239

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,207,239,210, is 1.

Now, the common factors can be found like this.

214:2x 107

207:3x 3x 23

239:239

210:2x 3x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 2223316620/(1x6)

LCM = 2223316620/6

LCM = 370552770

Thus, we can understand that the LCM of 214,207,239,210 is 370552770.

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

• LCM of 858, 854, 278, 261
• LCM of 868, 693, 328, 858
• LCM of 902, 877, 110, 883
• LCM of 452, 523, 217, 437
• LCM of 549, 181, 259, 368

1. What is the LCM of 214, 207, 239, 210?

Answer: LCM of 214, 207, 239, 210 is 370552770.

2. How to calculate the LCM of 214, 207, 239, 210?

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, 207, 239, 210.

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}.