Given numbers are 828,814,565

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

The LCM of 828,814,565 is 190402740.

Find LCM of 828,814,565 with Prime Factorization

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

2 x 414 x 407 x 565 = 190402740

Therefore, the lowest common multiple of 828,814,565 is 190402740.

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.

828 x 814 x 565 = 380805480

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

814 : 1, 2, 11, 22, 37, 74, 407, 814

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,814,565, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

814:2x 11x 37

565:5x 113

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 = 380805480/(1x2)

LCM = 380805480/2

LCM = 190402740

Thus, we can understand that the LCM of 828,814,565 is 190402740.

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

• LCM of 661, 666, 595
• LCM of 969, 590, 373
• LCM of 679, 176, 902
• LCM of 337, 736, 400
• LCM of 260, 523, 344

1. What is the LCM of 828, 814, 565?

Answer: LCM of 828, 814, 565 is 190402740.

2. How to calculate the LCM of 828, 814, 565?

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 828, 814, 565.

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}.