Given numbers are 343,176,990,523

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

The LCM of 343,176,990,523 is 1420760880.

Find LCM of 343,176,990,523 with Prime Factorization

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

2 x 11 x 343 x 8 x 45 x 523 = 1420760880

Therefore, the lowest common multiple of 343,176,990,523 is 1420760880.

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.

343 x 176 x 990 x 523 = 31256739360

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.

343 : 1, 7, 49, 343

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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

523 : 1, 523

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,176,990,523, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

176:2x 2x 2x 2x 11

990:2x 3x 3x 5x 11

523:523

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 31256739360/(1x22)

LCM = 31256739360/22

LCM = 1420760880

Thus, we can understand that the LCM of 343,176,990,523 is 1420760880.

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

• LCM of 676, 107, 344, 644
• LCM of 858, 380, 961, 271
• LCM of 550, 256, 624, 131
• LCM of 770, 892, 459, 137
• LCM of 560, 554, 426, 451

1. What is the LCM of 343, 176, 990, 523?

Answer: LCM of 343, 176, 990, 523 is 1420760880.

2. How to calculate the LCM of 343, 176, 990, 523?

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 343, 176, 990, 523.

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}.