Given numbers are 501,728,853,964

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

The LCM of 501,728,853,964 is 74978229144.

Find LCM of 501,728,853,964 with Prime Factorization

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

2 x 2 x 501 x 182 x 853 x 241 = 74978229144

Therefore, the lowest common multiple of 501,728,853,964 is 74978229144.

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.

501 x 728 x 853 x 964 = 299912916576

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.

501 : 1, 3, 167, 501

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

853 : 1, 853

964 : 1, 2, 4, 241, 482, 964

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 501,728,853,964, is 1.

Now, the common factors can be found like this.

501:3x 167

728:2x 2x 2x 7x 13

853:853

964:2x 2x 241

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 = 299912916576/(1x4)

LCM = 299912916576/4

LCM = 74978229144

Thus, we can understand that the LCM of 501,728,853,964 is 74978229144.

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

• LCM of 680, 111, 892, 854
• LCM of 241, 231, 315, 191
• LCM of 945, 293, 964, 626
• LCM of 594, 570, 661, 162
• LCM of 487, 748, 213, 379

1. What is the LCM of 501, 728, 853, 964?

Answer: LCM of 501, 728, 853, 964 is 74978229144.

2. How to calculate the LCM of 501, 728, 853, 964?

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 501, 728, 853, 964.

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}.