Given numbers are 855,504,286,414,974

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

The LCM of 855,504,286,414,974 is 76691454840.

Find LCM of 855,504,286,414,974 with Prime Factorization

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

2 x 3 x 3 x 95 x 28 x 143 x 23 x 487 = 76691454840

Therefore, the lowest common multiple of 855,504,286,414,974 is 76691454840.

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.

855 x 504 x 286 x 414 x 974 = 49696062736320

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

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

286 : 1, 2, 11, 13, 22, 26, 143, 286

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

974 : 1, 2, 487, 974

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,504,286,414,974, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

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

286:2x 11x 13

414:2x 3x 3x 23

974:2x 487

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 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 49696062736320/(1x648)

LCM = 49696062736320/648

LCM = 76691454840

Thus, we can understand that the LCM of 855,504,286,414,974 is 76691454840.

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

• LCM of 498, 690, 424, 947, 389
• LCM of 830, 521, 550, 401, 323
• LCM of 673, 818, 194, 221, 648
• LCM of 771, 793, 707, 823, 769
• LCM of 161, 730, 265, 872, 693

1. What is the LCM of 855, 504, 286, 414, 974?

Answer: LCM of 855, 504, 286, 414, 974 is 76691454840.

2. How to calculate the LCM of 855, 504, 286, 414, 974?

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 855, 504, 286, 414, 974.

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}.