Given numbers are 390,318,409,956,858

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

The LCM of 390,318,409,956,858 is 44451289740.

Find LCM of 390,318,409,956,858 with Prime Factorization

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

2 x 3 x 13 x 5 x 53 x 409 x 478 x 11 = 44451289740

Therefore, the lowest common multiple of 390,318,409,956,858 is 44451289740.

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.

390 x 318 x 409 x 956 x 858 = 41606407196640

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

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

409 : 1, 409

956 : 1, 2, 4, 239, 478, 956

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,318,409,956,858, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

318:2x 3x 53

409:409

956:2x 2x 239

858:2x 3x 11x 13

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 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 41606407196640/(1x936)

LCM = 41606407196640/936

LCM = 44451289740

Thus, we can understand that the LCM of 390,318,409,956,858 is 44451289740.

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

• LCM of 760, 933, 269, 761, 752
• LCM of 952, 113, 622, 405, 837
• LCM of 424, 494, 759, 117, 115
• LCM of 843, 384, 964, 517, 952
• LCM of 710, 171, 814, 548, 160

1. What is the LCM of 390, 318, 409, 956, 858?

Answer: LCM of 390, 318, 409, 956, 858 is 44451289740.

2. How to calculate the LCM of 390, 318, 409, 956, 858?

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 390, 318, 409, 956, 858.

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}.