Given numbers are 821,514,422,107

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

The LCM of 821,514,422,107 is 9527358538.

Find LCM of 821,514,422,107 with Prime Factorization

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

2 x 821 x 257 x 211 x 107 = 9527358538

Therefore, the lowest common multiple of 821,514,422,107 is 9527358538.

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.

821 x 514 x 422 x 107 = 19054717076

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.

821 : 1, 821

514 : 1, 2, 257, 514

422 : 1, 2, 211, 422

107 : 1, 107

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,514,422,107, is 1.

Now, the common factors can be found like this.

821:821

514:2x 257

422:2x 211

107:107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19054717076/(1x2)

LCM = 19054717076/2

LCM = 9527358538

Thus, we can understand that the LCM of 821,514,422,107 is 9527358538.

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

• LCM of 305, 997, 487, 947
• LCM of 520, 231, 553, 916
• LCM of 991, 469, 253, 936
• LCM of 327, 540, 167, 433
• LCM of 402, 207, 337, 497

1. What is the LCM of 821, 514, 422, 107?

Answer: LCM of 821, 514, 422, 107 is 9527358538.

2. How to calculate the LCM of 821, 514, 422, 107?

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 821, 514, 422, 107.

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}.