Given numbers are 418,290,406,856,395

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

The LCM of 418,290,406,856,395 is 14345417240.

Find LCM of 418,290,406,856,395 with Prime Factorization

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

2 x 5 x 29 x 209 x 1 x 7 x 428 x 79 = 14345417240

Therefore, the lowest common multiple of 418,290,406,856,395 is 14345417240.

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.

418 x 290 x 406 x 856 x 395 = 16640683998400

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

290 : 1, 2, 5, 10, 29, 58, 145, 290

406 : 1, 2, 7, 14, 29, 58, 203, 406

856 : 1, 2, 4, 8, 107, 214, 428, 856

395 : 1, 5, 79, 395

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,290,406,856,395, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

290:2x 5x 29

406:2x 7x 29

856:2x 2x 2x 107

395:5x 79

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 5x 29 = 1160

Therefore, the value for common factors is 1160.

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 = 16640683998400/(1x1160)

LCM = 16640683998400/1160

LCM = 14345417240

Thus, we can understand that the LCM of 418,290,406,856,395 is 14345417240.

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

• LCM of 140, 871, 960, 435, 907
• LCM of 249, 677, 164, 139, 413
• LCM of 639, 286, 276, 272, 334
• LCM of 297, 105, 854, 435, 637
• LCM of 592, 975, 983, 984, 500

1. What is the LCM of 418, 290, 406, 856, 395?

Answer: LCM of 418, 290, 406, 856, 395 is 14345417240.

2. How to calculate the LCM of 418, 290, 406, 856, 395?

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 418, 290, 406, 856, 395.

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}.