Given numbers are 504,916,419,708,875

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

The LCM of 504,916,419,708,875 is 356649867000.

Find LCM of 504,916,419,708,875 with Prime Factorization

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

2 x 2 x 3 x 7 x 6 x 229 x 419 x 59 x 125 = 356649867000

Therefore, the lowest common multiple of 504,916,419,708,875 is 356649867000.

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.

504 x 916 x 419 x 708 x 875 = 119834355312000

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

916 : 1, 2, 4, 229, 458, 916

419 : 1, 419

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,916,419,708,875, is 1.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

916:2x 2x 229

419:419

708:2x 2x 3x 59

875:5x 5x 5x 7

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 2x 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 119834355312000/(1x336)

LCM = 119834355312000/336

LCM = 356649867000

Thus, we can understand that the LCM of 504,916,419,708,875 is 356649867000.

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

• LCM of 782, 616, 803, 998, 789
• LCM of 542, 507, 109, 244, 738
• LCM of 573, 423, 187, 492, 770
• LCM of 881, 229, 893, 888, 884
• LCM of 574, 411, 465, 563, 213

1. What is the LCM of 504, 916, 419, 708, 875?

Answer: LCM of 504, 916, 419, 708, 875 is 356649867000.

2. How to calculate the LCM of 504, 916, 419, 708, 875?

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 504, 916, 419, 708, 875.

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}.