Given numbers are 428,346,466,213

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

The LCM of 428,346,466,213 is 3674729676.

Find LCM of 428,346,466,213 with Prime Factorization

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

2 x 214 x 173 x 233 x 213 = 3674729676

Therefore, the lowest common multiple of 428,346,466,213 is 3674729676.

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 346 x 466 x 213 = 14698918704

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

346 : 1, 2, 173, 346

466 : 1, 2, 233, 466

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,346,466,213, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

346:2x 173

466:2x 233

213:3x 71

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 = 14698918704/(1x4)

LCM = 14698918704/4

LCM = 3674729676

Thus, we can understand that the LCM of 428,346,466,213 is 3674729676.

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

• LCM of 951, 804, 182, 382
• LCM of 496, 979, 356, 985
• LCM of 429, 375, 985, 768
• LCM of 594, 187, 547, 736
• LCM of 456, 138, 410, 463

1. What is the LCM of 428, 346, 466, 213?

Answer: LCM of 428, 346, 466, 213 is 3674729676.

2. How to calculate the LCM of 428, 346, 466, 213?

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, 346, 466, 213.

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}.