Given numbers are 526,682,462,769,990

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

The LCM of 526,682,462,769,990 is 43448723010.

Find LCM of 526,682,462,769,990 with Prime Factorization

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

2 x 3 x 11 x 263 x 31 x 7 x 769 x 15 = 43448723010

Therefore, the lowest common multiple of 526,682,462,769,990 is 43448723010.

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.

526 x 682 x 462 x 769 x 990 = 126175091621040

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.

526 : 1, 2, 263, 526

682 : 1, 2, 11, 22, 31, 62, 341, 682

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

769 : 1, 769

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,682,462,769,990, is 1.

Now, the common factors can be found like this.

526:2x 263

682:2x 11x 31

462:2x 3x 7x 11

769:769

990:2x 3x 3x 5x 11

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 11x 11 = 2904

Therefore, the value for common factors is 2904.

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 = 126175091621040/(1x2904)

LCM = 126175091621040/2904

LCM = 43448723010

Thus, we can understand that the LCM of 526,682,462,769,990 is 43448723010.

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

• LCM of 720, 273, 530, 196, 480
• LCM of 257, 838, 899, 522, 260
• LCM of 414, 833, 339, 420, 229
• LCM of 674, 898, 350, 798, 423
• LCM of 342, 458, 615, 963, 982

1. What is the LCM of 526, 682, 462, 769, 990?

Answer: LCM of 526, 682, 462, 769, 990 is 43448723010.

2. How to calculate the LCM of 526, 682, 462, 769, 990?

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 526, 682, 462, 769, 990.

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}.