Given numbers are 714,349,156,450,690

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

The LCM of 714,349,156,450,690 is 11175992100.

Find LCM of 714,349,156,450,690 with Prime Factorization

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

2 x 3 x 5 x 119 x 349 x 26 x 15 x 23 = 11175992100

Therefore, the lowest common multiple of 714,349,156,450,690 is 11175992100.

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 349 x 156 x 450 x 690 = 12070071468000

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

349 : 1, 349

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 714,349,156,450,690, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

349:349

156:2x 2x 3x 13

450:2x 3x 3x 5x 5

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 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 12070071468000/(1x1080)

LCM = 12070071468000/1080

LCM = 11175992100

Thus, we can understand that the LCM of 714,349,156,450,690 is 11175992100.

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

• LCM of 491, 264, 265, 627, 134
• LCM of 681, 257, 413, 803, 516
• LCM of 287, 780, 361, 973, 941
• LCM of 227, 317, 322, 934, 361
• LCM of 935, 899, 162, 515, 652

1. What is the LCM of 714, 349, 156, 450, 690?

Answer: LCM of 714, 349, 156, 450, 690 is 11175992100.

2. How to calculate the LCM of 714, 349, 156, 450, 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, 349, 156, 450, 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}.