Given numbers are 538,310,430,446

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

The LCM of 538,310,430,446 is 799626710.

Find LCM of 538,310,430,446 with Prime Factorization

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

2 x 5 x 269 x 31 x 43 x 223 = 799626710

Therefore, the lowest common multiple of 538,310,430,446 is 799626710.

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.

538 x 310 x 430 x 446 = 31985068400

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.

538 : 1, 2, 269, 538

310 : 1, 2, 5, 10, 31, 62, 155, 310

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

446 : 1, 2, 223, 446

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,310,430,446, is 2.

Now, the common factors can be found like this.

538:2x 269

310:2x 5x 31

430:2x 5x 43

446:2x 223

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 5 = 20

Therefore, the value for common factors is 20.

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 = 31985068400/(2x20)

LCM = 31985068400/40

LCM = 799626710

Thus, we can understand that the LCM of 538,310,430,446 is 799626710.

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

• LCM of 269, 207, 103, 792
• LCM of 171, 566, 445, 503
• LCM of 975, 262, 566, 983
• LCM of 799, 182, 191, 127
• LCM of 987, 542, 847, 793

1. What is the LCM of 538, 310, 430, 446?

Answer: LCM of 538, 310, 430, 446 is 799626710.

2. How to calculate the LCM of 538, 310, 430, 446?

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 538, 310, 430, 446.

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}.