Given numbers are 690,432,917,447

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

The LCM of 690,432,917,447 is 6787927440.

Find LCM of 690,432,917,447 with Prime Factorization

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

2 x 3 x 115 x 72 x 917 x 149 = 6787927440

Therefore, the lowest common multiple of 690,432,917,447 is 6787927440.

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 432 x 917 x 447 = 122182693920

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

917 : 1, 7, 131, 917

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,432,917,447, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

432:2x 2x 2x 2x 3x 3x 3

917:7x 131

447:3x 149

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 122182693920/(1x18)

LCM = 122182693920/18

LCM = 6787927440

Thus, we can understand that the LCM of 690,432,917,447 is 6787927440.

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

• LCM of 259, 216, 162, 577
• LCM of 884, 174, 622, 515
• LCM of 338, 266, 793, 921
• LCM of 414, 646, 977, 347
• LCM of 338, 647, 160, 734

1. What is the LCM of 690, 432, 917, 447?

Answer: LCM of 690, 432, 917, 447 is 6787927440.

2. How to calculate the LCM of 690, 432, 917, 447?

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, 432, 917, 447.

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}.