Given numbers are 428,430,946,211

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

The LCM of 428,430,946,211 is 213578420.

Find LCM of 428,430,946,211 with Prime Factorization

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

2 x 43 x 214 x 5 x 11 x 211 = 213578420

Therefore, the lowest common multiple of 428,430,946,211 is 213578420.

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 430 x 946 x 211 = 36735488240

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

946 : 1, 2, 11, 22, 43, 86, 473, 946

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,430,946,211, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

430:2x 5x 43

946:2x 11x 43

211:211

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 43 = 172

Therefore, the value for common factors is 172.

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 = 36735488240/(1x172)

LCM = 36735488240/172

LCM = 213578420

Thus, we can understand that the LCM of 428,430,946,211 is 213578420.

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

• LCM of 312, 656, 491, 298
• LCM of 523, 809, 391, 928
• LCM of 188, 604, 857, 604
• LCM of 576, 390, 659, 368
• LCM of 343, 980, 167, 182

1. What is the LCM of 428, 430, 946, 211?

Answer: LCM of 428, 430, 946, 211 is 213578420.

2. How to calculate the LCM of 428, 430, 946, 211?

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, 430, 946, 211.

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}.