Given numbers are 826,110,738

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

The LCM of 826,110,738 is 16763670.

Find LCM of 826,110,738 with Prime Factorization

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

2 x 413 x 55 x 369 = 16763670

Therefore, the lowest common multiple of 826,110,738 is 16763670.

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.

826 x 110 x 738 = 67054680

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.

826 : 1, 2, 7, 14, 59, 118, 413, 826

110 : 1, 2, 5, 10, 11, 22, 55, 110

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,110,738, is 2.

Now, the common factors can be found like this.

826:2x 7x 59

110:2x 5x 11

738:2x 3x 3x 41

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

2 = 2

Therefore, the value for common factors is 2.

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 = 67054680/(2x2)

LCM = 67054680/4

LCM = 16763670

Thus, we can understand that the LCM of 826,110,738 is 16763670.

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

• LCM of 227, 347, 315
• LCM of 397, 602, 840
• LCM of 259, 316, 643
• LCM of 120, 127, 340
• LCM of 334, 519, 293

1. What is the LCM of 826, 110, 738?

Answer: LCM of 826, 110, 738 is 16763670.

2. How to calculate the LCM of 826, 110, 738?

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 826, 110, 738.

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}.