Given numbers are 338,65,506

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

The LCM of 338,65,506 is 427570.

Find LCM of 338,65,506 with Prime Factorization

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

2 x 13 x 13 x 5 x 253 = 427570

Therefore, the lowest common multiple of 338,65,506 is 427570.

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.

338 x 65 x 506 = 11116820

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.

338 : 1, 2, 13, 26, 169, 338

65 : 1, 5, 13, 65

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,65,506, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

65:5x 13

506:2x 11x 23

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 11116820/(1x26)

LCM = 11116820/26

LCM = 427570

Thus, we can understand that the LCM of 338,65,506 is 427570.

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

• LCM of 926, 10, 247
• LCM of 953, 96, 415
• LCM of 333, 51, 348
• LCM of 622, 67, 724
• LCM of 699, 47, 960

1. What is the LCM of 338, 65, 506?

Answer: LCM of 338, 65, 506 is 427570.

2. How to calculate the LCM of 338, 65, 506?

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 338, 65, 506.

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}.