Given numbers are 339,143,312,753,949

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

The LCM of 339,143,312,753,949 is 7105952568.

Find LCM of 339,143,312,753,949 with Prime Factorization

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

3 x 13 x 113 x 11 x 8 x 251 x 73 = 7105952568

Therefore, the lowest common multiple of 339,143,312,753,949 is 7105952568.

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.

339 x 143 x 312 x 753 x 949 = 10808153855928

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.

339 : 1, 3, 113, 339

143 : 1, 11, 13, 143

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

753 : 1, 3, 251, 753

949 : 1, 13, 73, 949

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,143,312,753,949, is 1.

Now, the common factors can be found like this.

339:3x 113

143:11x 13

312:2x 2x 2x 3x 13

753:3x 251

949:13x 73

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

3x 3x 13x 13 = 1521

Therefore, the value for common factors is 1521.

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 = 10808153855928/(1x1521)

LCM = 10808153855928/1521

LCM = 7105952568

Thus, we can understand that the LCM of 339,143,312,753,949 is 7105952568.

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

• LCM of 273, 113, 503, 832, 233
• LCM of 803, 711, 321, 441, 124
• LCM of 204, 125, 426, 767, 285
• LCM of 455, 513, 855, 920, 623
• LCM of 740, 572, 210, 459, 779

1. What is the LCM of 339, 143, 312, 753, 949?

Answer: LCM of 339, 143, 312, 753, 949 is 7105952568.

2. How to calculate the LCM of 339, 143, 312, 753, 949?

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 339, 143, 312, 753, 949.

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}.