Given numbers are 305,341,743,924

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

The LCM of 305,341,743,924 is 6491160060.

Find LCM of 305,341,743,924 with Prime Factorization

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

11 x 305 x 31 x 743 x 84 = 6491160060

Therefore, the lowest common multiple of 305,341,743,924 is 6491160060.

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.

305 x 341 x 743 x 924 = 71402760660

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.

305 : 1, 5, 61, 305

341 : 1, 11, 31, 341

743 : 1, 743

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,341,743,924, is 1.

Now, the common factors can be found like this.

305:5x 61

341:11x 31

743:743

924:2x 2x 3x 7x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 71402760660/(1x11)

LCM = 71402760660/11

LCM = 6491160060

Thus, we can understand that the LCM of 305,341,743,924 is 6491160060.

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

• LCM of 317, 870, 962, 176
• LCM of 129, 879, 110, 894
• LCM of 133, 247, 494, 536
• LCM of 506, 870, 117, 528
• LCM of 939, 301, 761, 798

1. What is the LCM of 305, 341, 743, 924?

Answer: LCM of 305, 341, 743, 924 is 6491160060.

2. How to calculate the LCM of 305, 341, 743, 924?

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 305, 341, 743, 924.

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}.