Given numbers are 403,62,338

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

The LCM of 403,62,338 is 10478.

Find LCM of 403,62,338 with Prime Factorization

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

2 x 13 x 31 x 1 x 1 x 13 = 10478

Therefore, the lowest common multiple of 403,62,338 is 10478.

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.

403 x 62 x 338 = 8445268

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.

403 : 1, 13, 31, 403

62 : 1, 2, 31, 62

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 403,62,338, is 1.

Now, the common factors can be found like this.

403:13x 31

62:2x 31

338:2x 13x 13

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

2x 13x 31 = 806

Therefore, the value for common factors is 806.

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 = 8445268/(1x806)

LCM = 8445268/806

LCM = 10478

Thus, we can understand that the LCM of 403,62,338 is 10478.

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

• LCM of 808, 61, 988
• LCM of 285, 74, 699
• LCM of 648, 28, 155
• LCM of 148, 20, 195
• LCM of 871, 69, 311

1. What is the LCM of 403, 62, 338?

Answer: LCM of 403, 62, 338 is 10478.

2. How to calculate the LCM of 403, 62, 338?

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 403, 62, 338.

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}.