Given numbers are 418,31,338

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

The LCM of 418,31,338 is 2189902.

Find LCM of 418,31,338 with Prime Factorization

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

2 x 209 x 31 x 169 = 2189902

Therefore, the lowest common multiple of 418,31,338 is 2189902.

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.

418 x 31 x 338 = 4379804

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

31 : 1, 31

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 418,31,338, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

31:31

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.

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 = 4379804/(1x2)

LCM = 4379804/2

LCM = 2189902

Thus, we can understand that the LCM of 418,31,338 is 2189902.

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

• LCM of 932, 42, 857
• LCM of 118, 65, 759
• LCM of 226, 74, 156
• LCM of 819, 21, 220
• LCM of 350, 96, 534

1. What is the LCM of 418, 31, 338?

Answer: LCM of 418, 31, 338 is 2189902.

2. How to calculate the LCM of 418, 31, 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 418, 31, 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}.