Given numbers are 431,92,338

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

The LCM of 431,92,338 is 6701188.

Find LCM of 431,92,338 with Prime Factorization

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

2 x 431 x 46 x 169 = 6701188

Therefore, the lowest common multiple of 431,92,338 is 6701188.

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.

431 x 92 x 338 = 13402376

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.

431 : 1, 431

92 : 1, 2, 4, 23, 46, 92

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 431,92,338, is 1.

Now, the common factors can be found like this.

431:431

92:2x 2x 23

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 = 13402376/(1x2)

LCM = 13402376/2

LCM = 6701188

Thus, we can understand that the LCM of 431,92,338 is 6701188.

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

• LCM of 149, 56, 413
• LCM of 277, 50, 676
• LCM of 804, 23, 776
• LCM of 642, 75, 319
• LCM of 946, 80, 367

1. What is the LCM of 431, 92, 338?

Answer: LCM of 431, 92, 338 is 6701188.

2. How to calculate the LCM of 431, 92, 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 431, 92, 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}.