Given numbers are 506,420,538

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

The LCM of 506,420,538 is 28583940.

Find LCM of 506,420,538 with Prime Factorization

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

2 x 253 x 210 x 269 = 28583940

Therefore, the lowest common multiple of 506,420,538 is 28583940.

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.

506 x 420 x 538 = 114335760

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

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

538 : 1, 2, 269, 538

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,420,538, is 2.

Now, the common factors can be found like this.

506:2x 11x 23

420:2x 2x 3x 5x 7

538:2x 269

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

2 = 2

Therefore, the value for common factors is 2.

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 = 114335760/(2x2)

LCM = 114335760/4

LCM = 28583940

Thus, we can understand that the LCM of 506,420,538 is 28583940.

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

• LCM of 919, 508, 213
• LCM of 904, 928, 508
• LCM of 323, 166, 838
• LCM of 152, 950, 798
• LCM of 575, 550, 671

1. What is the LCM of 506, 420, 538?

Answer: LCM of 506, 420, 538 is 28583940.

2. How to calculate the LCM of 506, 420, 538?

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 506, 420, 538.

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}.