Given numbers are 420,352,523,842

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

The LCM of 420,352,523,842 is 8137963680.

Find LCM of 420,352,523,842 with Prime Factorization

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

2 x 2 x 105 x 88 x 523 x 421 = 8137963680

Therefore, the lowest common multiple of 420,352,523,842 is 8137963680.

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.

420 x 352 x 523 x 842 = 65103709440

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

523 : 1, 523

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,352,523,842, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

352:2x 2x 2x 2x 2x 11

523:523

842:2x 421

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 2 = 8

Therefore, the value for common factors is 8.

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 = 65103709440/(1x8)

LCM = 65103709440/8

LCM = 8137963680

Thus, we can understand that the LCM of 420,352,523,842 is 8137963680.

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

• LCM of 944, 213, 406, 940
• LCM of 555, 820, 418, 950
• LCM of 415, 379, 414, 250
• LCM of 950, 574, 987, 158
• LCM of 509, 628, 840, 897

1. What is the LCM of 420, 352, 523, 842?

Answer: LCM of 420, 352, 523, 842 is 8137963680.

2. How to calculate the LCM of 420, 352, 523, 842?

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 420, 352, 523, 842.

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}.