Given numbers are 714,654,449,582,690

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

The LCM of 714,654,449,582,690 is 389798914470.

Find LCM of 714,654,449,582,690 with Prime Factorization

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

2 x 3 x 119 x 109 x 449 x 97 x 115 = 389798914470

Therefore, the lowest common multiple of 714,654,449,582,690 is 389798914470.

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.

714 x 654 x 449 x 582 x 690 = 84196565525520

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.

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

654 : 1, 2, 3, 6, 109, 218, 327, 654

449 : 1, 449

582 : 1, 2, 3, 6, 97, 194, 291, 582

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,654,449,582,690, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

654:2x 3x 109

449:449

582:2x 3x 97

690:2x 3x 5x 23

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 3 = 216

Therefore, the value for common factors is 216.

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 = 84196565525520/(1x216)

LCM = 84196565525520/216

LCM = 389798914470

Thus, we can understand that the LCM of 714,654,449,582,690 is 389798914470.

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

• LCM of 833, 239, 154, 794, 341
• LCM of 302, 570, 511, 467, 726
• LCM of 333, 287, 577, 513, 278
• LCM of 848, 985, 572, 751, 904
• LCM of 140, 921, 677, 512, 380

1. What is the LCM of 714, 654, 449, 582, 690?

Answer: LCM of 714, 654, 449, 582, 690 is 389798914470.

2. How to calculate the LCM of 714, 654, 449, 582, 690?

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 714, 654, 449, 582, 690.

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}.