Given numbers are 820,554,780,380

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

The LCM of 820,554,780,380 is 168310740.

Find LCM of 820,554,780,380 with Prime Factorization

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

2 x 2 x 5 x 41 x 277 x 39 x 19 = 168310740

Therefore, the lowest common multiple of 820,554,780,380 is 168310740.

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 554 x 780 x 380 = 134648592000

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

554 : 1, 2, 277, 554

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,554,780,380, is 2.

Now, the common factors can be found like this.

820:2x 2x 5x 41

554:2x 277

780:2x 2x 3x 5x 13

380:2x 2x 5x 19

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 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 134648592000/(2x400)

LCM = 134648592000/800

LCM = 168310740

Thus, we can understand that the LCM of 820,554,780,380 is 168310740.

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

• LCM of 679, 450, 324, 441
• LCM of 897, 995, 519, 502
• LCM of 388, 792, 279, 761
• LCM of 978, 900, 194, 305
• LCM of 971, 708, 525, 961

1. What is the LCM of 820, 554, 780, 380?

Answer: LCM of 820, 554, 780, 380 is 168310740.

2. How to calculate the LCM of 820, 554, 780, 380?

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, 554, 780, 380.

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}.