Given numbers are 820,378,323

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

The LCM of 820,378,323 is 50058540.

Find LCM of 820,378,323 with Prime Factorization

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

2 x 410 x 189 x 323 = 50058540

Therefore, the lowest common multiple of 820,378,323 is 50058540.

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.

820 x 378 x 323 = 100117080

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,378,323, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

378:2x 3x 3x 3x 7

323:17x 19

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 = 100117080/(1x2)

LCM = 100117080/2

LCM = 50058540

Thus, we can understand that the LCM of 820,378,323 is 50058540.

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

• LCM of 778, 847, 430
• LCM of 951, 504, 495
• LCM of 554, 402, 224
• LCM of 877, 464, 779
• LCM of 275, 169, 468

1. What is the LCM of 820, 378, 323?

Answer: LCM of 820, 378, 323 is 50058540.

2. How to calculate the LCM of 820, 378, 323?

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 820, 378, 323.

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}.