Given numbers are 690,903,756,790,312

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

The LCM of 690,903,756,790,312 is 7678714680.

Find LCM of 690,903,756,790,312 with Prime Factorization

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

2 x 2 x 3 x 5 x 7 x 23 x 43 x 9 x 79 x 26 = 7678714680

Therefore, the lowest common multiple of 690,903,756,790,312 is 7678714680.

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.

690 x 903 x 756 x 790 x 312 = 116102165961600

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.

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

903 : 1, 3, 7, 21, 43, 129, 301, 903

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

790 : 1, 2, 5, 10, 79, 158, 395, 790

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,903,756,790,312, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

903:3x 7x 43

756:2x 2x 3x 3x 3x 7

790:2x 5x 79

312:2x 2x 2x 3x 13

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 3x 3x 5x 7 = 15120

Therefore, the value for common factors is 15120.

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 = 116102165961600/(1x15120)

LCM = 116102165961600/15120

LCM = 7678714680

Thus, we can understand that the LCM of 690,903,756,790,312 is 7678714680.

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

• LCM of 899, 142, 774, 783, 492
• LCM of 336, 409, 196, 651, 476
• LCM of 802, 796, 845, 730, 526
• LCM of 129, 317, 350, 308, 115
• LCM of 298, 207, 946, 437, 520

1. What is the LCM of 690, 903, 756, 790, 312?

Answer: LCM of 690, 903, 756, 790, 312 is 7678714680.

2. How to calculate the LCM of 690, 903, 756, 790, 312?

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 690, 903, 756, 790, 312.

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}.