Given numbers are 759,214,300,319,672

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

The LCM of 759,214,300,319,672 is 13188991200.

Find LCM of 759,214,300,319,672 with Prime Factorization

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

2 x 2 x 3 x 11 x 23 x 107 x 25 x 29 x 56 = 13188991200

Therefore, the lowest common multiple of 759,214,300,319,672 is 13188991200.

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.

759 x 214 x 300 x 319 x 672 = 10445681030400

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.

759 : 1, 3, 11, 23, 33, 69, 253, 759

214 : 1, 2, 107, 214

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

319 : 1, 11, 29, 319

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 759,214,300,319,672, is 1.

Now, the common factors can be found like this.

759:3x 11x 23

214:2x 107

300:2x 2x 3x 5x 5

319:11x 29

672:2x 2x 2x 2x 2x 3x 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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 10445681030400/(1x792)

LCM = 10445681030400/792

LCM = 13188991200

Thus, we can understand that the LCM of 759,214,300,319,672 is 13188991200.

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

• LCM of 682, 672, 332, 776, 150
• LCM of 109, 413, 849, 929, 462
• LCM of 876, 561, 997, 469, 856
• LCM of 463, 375, 752, 361, 803
• LCM of 186, 462, 419, 412, 412

1. What is the LCM of 759, 214, 300, 319, 672?

Answer: LCM of 759, 214, 300, 319, 672 is 13188991200.

2. How to calculate the LCM of 759, 214, 300, 319, 672?

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 759, 214, 300, 319, 672.

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}.