Given numbers are 394,444,208,714,750

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

The LCM of 394,444,208,714,750 is 67656498000.

Find LCM of 394,444,208,714,750 with Prime Factorization

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

2 x 2 x 3 x 197 x 37 x 52 x 119 x 125 = 67656498000

Therefore, the lowest common multiple of 394,444,208,714,750 is 67656498000.

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.

394 x 444 x 208 x 714 x 750 = 19485071424000

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.

394 : 1, 2, 197, 394

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,444,208,714,750, is 2.

Now, the common factors can be found like this.

394:2x 197

444:2x 2x 3x 37

208:2x 2x 2x 2x 13

714:2x 3x 7x 17

750:2x 3x 5x 5x 5

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 3 = 144

Therefore, the value for common factors is 144.

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 = 19485071424000/(2x144)

LCM = 19485071424000/288

LCM = 67656498000

Thus, we can understand that the LCM of 394,444,208,714,750 is 67656498000.

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

• LCM of 224, 243, 956, 664, 589
• LCM of 156, 959, 521, 833, 910
• LCM of 774, 193, 963, 886, 983
• LCM of 476, 466, 535, 996, 937
• LCM of 462, 955, 891, 655, 971

1. What is the LCM of 394, 444, 208, 714, 750?

Answer: LCM of 394, 444, 208, 714, 750 is 67656498000.

2. How to calculate the LCM of 394, 444, 208, 714, 750?

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 394, 444, 208, 714, 750.

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}.