Given numbers are 428,588,211,19

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

The LCM of 428,588,211,19 is 252230244.

Find LCM of 428,588,211,19 with Prime Factorization

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

2 x 2 x 107 x 147 x 211 x 19 = 252230244

Therefore, the lowest common multiple of 428,588,211,19 is 252230244.

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 588 x 211 x 19 = 1008920976

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

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

211 : 1, 211

19 : 1, 19

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,588,211,19, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

588:2x 2x 3x 7x 7

211:211

19:19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 1008920976/(1x4)

LCM = 1008920976/4

LCM = 252230244

Thus, we can understand that the LCM of 428,588,211,19 is 252230244.

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

• LCM of 199, 891, 680, 51
• LCM of 778, 508, 164, 46
• LCM of 605, 534, 626, 66
• LCM of 849, 736, 313, 69
• LCM of 998, 750, 726, 56

1. What is the LCM of 428, 588, 211, 19?

Answer: LCM of 428, 588, 211, 19 is 252230244.

2. How to calculate the LCM of 428, 588, 211, 19?

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, 588, 211, 19.

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}.