Given numbers are 363,420,523,354

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

The LCM of 363,420,523,354 is 1568152740.

Find LCM of 363,420,523,354 with Prime Factorization

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

2 x 3 x 121 x 70 x 523 x 59 = 1568152740

Therefore, the lowest common multiple of 363,420,523,354 is 1568152740.

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.

363 x 420 x 523 x 354 = 28226749320

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.

363 : 1, 3, 11, 33, 121, 363

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

523 : 1, 523

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,420,523,354, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

420:2x 2x 3x 5x 7

523:523

354:2x 3x 59

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 28226749320/(1x18)

LCM = 28226749320/18

LCM = 1568152740

Thus, we can understand that the LCM of 363,420,523,354 is 1568152740.

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

• LCM of 322, 739, 455, 442
• LCM of 205, 150, 156, 285
• LCM of 817, 236, 777, 436
• LCM of 754, 965, 574, 135
• LCM of 535, 176, 579, 432

1. What is the LCM of 363, 420, 523, 354?

Answer: LCM of 363, 420, 523, 354 is 1568152740.

2. How to calculate the LCM of 363, 420, 523, 354?

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 363, 420, 523, 354.

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}.