Given numbers are 807,504,168,516

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

The LCM of 807,504,168,516 is 5829768.

Find LCM of 807,504,168,516 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 269 x 1 x 3 x 43 = 5829768

Therefore, the lowest common multiple of 807,504,168,516 is 5829768.

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.

807 x 504 x 168 x 516 = 35258436864

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.

807 : 1, 3, 269, 807

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,504,168,516, is 3.

Now, the common factors can be found like this.

807:3x 269

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

168:2x 2x 2x 3x 7

516:2x 2x 3x 43

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 2x 3x 3x 7 = 2016

Therefore, the value for common factors is 2016.

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 = 35258436864/(3x2016)

LCM = 35258436864/6048

LCM = 5829768

Thus, we can understand that the LCM of 807,504,168,516 is 5829768.

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

• LCM of 913, 214, 757, 689
• LCM of 695, 545, 541, 519
• LCM of 498, 198, 610, 478
• LCM of 670, 795, 534, 679
• LCM of 133, 138, 665, 323

1. What is the LCM of 807, 504, 168, 516?

Answer: LCM of 807, 504, 168, 516 is 5829768.

2. How to calculate the LCM of 807, 504, 168, 516?

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 807, 504, 168, 516.

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}.