Given numbers are 362,341,920,318,806

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

The LCM of 362,341,920,318,806 is 117371122440.

Find LCM of 362,341,920,318,806 with Prime Factorization

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

2 x 31 x 181 x 11 x 460 x 159 x 13 = 117371122440

Therefore, the lowest common multiple of 362,341,920,318,806 is 117371122440.

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.

362 x 341 x 920 x 318 x 806 = 29108038365120

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.

362 : 1, 2, 181, 362

341 : 1, 11, 31, 341

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

318 : 1, 2, 3, 6, 53, 106, 159, 318

806 : 1, 2, 13, 26, 31, 62, 403, 806

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,341,920,318,806, is 1.

Now, the common factors can be found like this.

362:2x 181

341:11x 31

920:2x 2x 2x 5x 23

318:2x 3x 53

806:2x 13x 31

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

2x 2x 2x 31 = 248

Therefore, the value for common factors is 248.

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 = 29108038365120/(1x248)

LCM = 29108038365120/248

LCM = 117371122440

Thus, we can understand that the LCM of 362,341,920,318,806 is 117371122440.

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

• LCM of 159, 113, 171, 857, 946
• LCM of 951, 325, 796, 339, 956
• LCM of 202, 652, 243, 537, 750
• LCM of 960, 150, 752, 755, 540
• LCM of 741, 320, 416, 602, 482

1. What is the LCM of 362, 341, 920, 318, 806?

Answer: LCM of 362, 341, 920, 318, 806 is 117371122440.

2. How to calculate the LCM of 362, 341, 920, 318, 806?

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 362, 341, 920, 318, 806.

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}.