Given numbers are 523,213,420

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

The LCM of 523,213,420 is 15595860.

Find LCM of 523,213,420 with Prime Factorization

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

3 x 523 x 71 x 140 = 15595860

Therefore, the lowest common multiple of 523,213,420 is 15595860.

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.

523 x 213 x 420 = 46787580

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.

523 : 1, 523

213 : 1, 3, 71, 213

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,213,420, is 1.

Now, the common factors can be found like this.

523:523

213:3x 71

420:2x 2x 3x 5x 7

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

3 = 3

Therefore, the value for common factors is 3.

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 = 46787580/(1x3)

LCM = 46787580/3

LCM = 15595860

Thus, we can understand that the LCM of 523,213,420 is 15595860.

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

• LCM of 296, 751, 859
• LCM of 170, 174, 579
• LCM of 199, 158, 144
• LCM of 793, 119, 694
• LCM of 160, 145, 522

1. What is the LCM of 523, 213, 420?

Answer: LCM of 523, 213, 420 is 15595860.

2. How to calculate the LCM of 523, 213, 420?

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 523, 213, 420.

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}.