Given numbers are 107,38,428

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

The LCM of 107,38,428 is 8132.

Find LCM of 107,38,428 with Prime Factorization

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

2 x 107 x 1 x 19 x 2 = 8132

Therefore, the lowest common multiple of 107,38,428 is 8132.

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.

107 x 38 x 428 = 1740248

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.

107 : 1, 107

38 : 1, 2, 19, 38

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,38,428, is 1.

Now, the common factors can be found like this.

107:107

38:2x 19

428:2x 2x 107

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

2x 107 = 214

Therefore, the value for common factors is 214.

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 = 1740248/(1x214)

LCM = 1740248/214

LCM = 8132

Thus, we can understand that the LCM of 107,38,428 is 8132.

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

• LCM of 319, 79, 979
• LCM of 988, 92, 177
• LCM of 168, 21, 636
• LCM of 633, 84, 610
• LCM of 879, 20, 529

1. What is the LCM of 107, 38, 428?

Answer: LCM of 107, 38, 428 is 8132.

2. How to calculate the LCM of 107, 38, 428?

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 107, 38, 428.

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}.