Given numbers are 723,307,327,872,975

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

The LCM of 723,307,327,872,975 is 62903747400.

Find LCM of 723,307,327,872,975 with Prime Factorization

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

3 x 109 x 241 x 307 x 1 x 8 x 325 = 62903747400

Therefore, the lowest common multiple of 723,307,327,872,975 is 62903747400.

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.

723 x 307 x 327 x 872 x 975 = 61708576199400

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.

723 : 1, 3, 241, 723

307 : 1, 307

327 : 1, 3, 109, 327

872 : 1, 2, 4, 8, 109, 218, 436, 872

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,307,327,872,975, is 1.

Now, the common factors can be found like this.

723:3x 241

307:307

327:3x 109

872:2x 2x 2x 109

975:3x 5x 5x 13

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

3x 3x 109 = 981

Therefore, the value for common factors is 981.

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 = 61708576199400/(1x981)

LCM = 61708576199400/981

LCM = 62903747400

Thus, we can understand that the LCM of 723,307,327,872,975 is 62903747400.

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

• LCM of 350, 667, 408, 386, 766
• LCM of 110, 977, 330, 830, 253
• LCM of 319, 680, 340, 739, 654
• LCM of 834, 926, 782, 973, 280
• LCM of 545, 270, 749, 647, 560

1. What is the LCM of 723, 307, 327, 872, 975?

Answer: LCM of 723, 307, 327, 872, 975 is 62903747400.

2. How to calculate the LCM of 723, 307, 327, 872, 975?

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 723, 307, 327, 872, 975.

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}.