Given numbers are 516,409,900,754

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

The LCM of 516,409,900,754 is 5967269100.

Find LCM of 516,409,900,754 with Prime Factorization

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

2 x 2 x 3 x 43 x 409 x 75 x 377 = 5967269100

Therefore, the lowest common multiple of 516,409,900,754 is 5967269100.

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.

516 x 409 x 900 x 754 = 143214458400

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.

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

409 : 1, 409

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

754 : 1, 2, 13, 26, 29, 58, 377, 754

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 516,409,900,754, is 1.

Now, the common factors can be found like this.

516:2x 2x 3x 43

409:409

900:2x 2x 3x 3x 5x 5

754:2x 13x 29

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 3 = 24

Therefore, the value for common factors is 24.

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 = 143214458400/(1x24)

LCM = 143214458400/24

LCM = 5967269100

Thus, we can understand that the LCM of 516,409,900,754 is 5967269100.

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

• LCM of 465, 269, 460, 234
• LCM of 287, 624, 268, 361
• LCM of 837, 203, 113, 817
• LCM of 178, 874, 965, 342
• LCM of 234, 196, 159, 150

1. What is the LCM of 516, 409, 900, 754?

Answer: LCM of 516, 409, 900, 754 is 5967269100.

2. How to calculate the LCM of 516, 409, 900, 754?

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 516, 409, 900, 754.

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}.