Given numbers are 401,351,100,824

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

The LCM of 401,351,100,824 is 2899470600.

Find LCM of 401,351,100,824 with Prime Factorization

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

2 x 2 x 401 x 351 x 25 x 206 = 2899470600

Therefore, the lowest common multiple of 401,351,100,824 is 2899470600.

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.

401 x 351 x 100 x 824 = 11597882400

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.

401 : 1, 401

351 : 1, 3, 9, 13, 27, 39, 117, 351

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,351,100,824, is 1.

Now, the common factors can be found like this.

401:401

351:3x 3x 3x 13

100:2x 2x 5x 5

824:2x 2x 2x 103

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 11597882400/(1x4)

LCM = 11597882400/4

LCM = 2899470600

Thus, we can understand that the LCM of 401,351,100,824 is 2899470600.

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

• LCM of 169, 612, 361, 823
• LCM of 468, 681, 188, 707
• LCM of 967, 661, 533, 693
• LCM of 815, 869, 243, 520
• LCM of 205, 401, 351, 548

1. What is the LCM of 401, 351, 100, 824?

Answer: LCM of 401, 351, 100, 824 is 2899470600.

2. How to calculate the LCM of 401, 351, 100, 824?

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 401, 351, 100, 824.

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}.