Given numbers are 428,207,338,366

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

The LCM of 428,207,338,366 is 913336164.

Find LCM of 428,207,338,366 with Prime Factorization

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

2 x 3 x 214 x 69 x 169 x 61 = 913336164

Therefore, the lowest common multiple of 428,207,338,366 is 913336164.

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.

428 x 207 x 338 x 366 = 10960033968

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.

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

207 : 1, 3, 9, 23, 69, 207

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,207,338,366, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

207:3x 3x 23

338:2x 13x 13

366:2x 3x 61

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 10960033968/(1x12)

LCM = 10960033968/12

LCM = 913336164

Thus, we can understand that the LCM of 428,207,338,366 is 913336164.

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

• LCM of 182, 602, 118, 147
• LCM of 656, 674, 303, 565
• LCM of 374, 512, 644, 343
• LCM of 982, 890, 264, 783
• LCM of 144, 929, 498, 254

1. What is the LCM of 428, 207, 338, 366?

Answer: LCM of 428, 207, 338, 366 is 913336164.

2. How to calculate the LCM of 428, 207, 338, 366?

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 428, 207, 338, 366.

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}.