Given numbers are 714,706,355,310,800

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

The LCM of 714,706,355,310,800 is 221897776800.

Find LCM of 714,706,355,310,800 with Prime Factorization

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

2 x 5 x 357 x 353 x 71 x 31 x 80 = 221897776800

Therefore, the lowest common multiple of 714,706,355,310,800 is 221897776800.

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 706 x 355 x 310 x 800 = 44379555360000

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

706 : 1, 2, 353, 706

355 : 1, 5, 71, 355

310 : 1, 2, 5, 10, 31, 62, 155, 310

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,706,355,310,800, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

706:2x 353

355:5x 71

310:2x 5x 31

800:2x 2x 2x 2x 2x 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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 44379555360000/(1x200)

LCM = 44379555360000/200

LCM = 221897776800

Thus, we can understand that the LCM of 714,706,355,310,800 is 221897776800.

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

• LCM of 386, 840, 945, 980, 686
• LCM of 497, 967, 976, 954, 541
• LCM of 859, 365, 823, 987, 445
• LCM of 454, 727, 120, 242, 547
• LCM of 975, 502, 208, 920, 740

1. What is the LCM of 714, 706, 355, 310, 800?

Answer: LCM of 714, 706, 355, 310, 800 is 221897776800.

2. How to calculate the LCM of 714, 706, 355, 310, 800?

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, 706, 355, 310, 800.

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}.