Given numbers are 833,301,221,214

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

The LCM of 833,301,221,214 is 99648458.

Find LCM of 833,301,221,214 with Prime Factorization

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

7 x 17 x 7 x 43 x 13 x 214 = 99648458

Therefore, the lowest common multiple of 833,301,221,214 is 99648458.

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.

833 x 301 x 221 x 214 = 11858166502

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.

833 : 1, 7, 17, 49, 119, 833

301 : 1, 7, 43, 301

221 : 1, 13, 17, 221

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,301,221,214, is 1.

Now, the common factors can be found like this.

833:7x 7x 17

301:7x 43

221:13x 17

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.

7x 17 = 119

Therefore, the value for common factors is 119.

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 = 11858166502/(1x119)

LCM = 11858166502/119

LCM = 99648458

Thus, we can understand that the LCM of 833,301,221,214 is 99648458.

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

• LCM of 208, 681, 144, 569
• LCM of 206, 241, 122, 237
• LCM of 747, 155, 278, 255
• LCM of 531, 348, 629, 373
• LCM of 518, 490, 767, 862

1. What is the LCM of 833, 301, 221, 214?

Answer: LCM of 833, 301, 221, 214 is 99648458.

2. How to calculate the LCM of 833, 301, 221, 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 833, 301, 221, 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}.